tmatsuur

This plugin add the search post widget add on edit page and dashboard. Further, the edit button of previous/next post is add on edit page of the existing post. 
Thereby, post edit will become slightly convenient.
<h4>Some features:</h4>
<ul>
<li>The retrieval by keyword of a dashboard and an edit page becomes possible.</li>
<li>The previous/next post can be edited quickly ( classic dditor only ).</li>
</ul>
<h4>Support</h4>
<ul>
<li>Japanese – https://elearn.jp/wpman/column/somewhere-search-box.html</li>
</ul>
<h4>Translators</h4>
<ul>
<li>Japanese(ja) – <a href="https://12net.jp/" rel="nofollow ugc">Takenori Matsuura</a></li>
</ul>
You can send your own language pack to me.
Please contact to me.
<ul>
<li>https://12net.jp/ (ja)</li>
<li>@tmatsuur on twitter.</li>
</ul>
<h4>Contributors</h4>
<ul>
<li><a href="https://12net.jp/" rel="nofollow ugc">Takenori Matsuura</a></li>
</ul>
<h3>Credits</h3>
This plug-in is not guaranteed though the user of WordPress can freely use this plug-in free of charge regardless of the purpose. 
The author must acknowledge the thing that the operation guarantee and the support in this plug-in use are not done at all beforehand.
<h3>Contact</h3>
email to takenori.matsuura[at]gmail.com 
twitter @tmatsuur

Somewhere search box

Search post widget and previous/next post edit button add on edit page.

ThemeHunk

WooCommerce Advance Product Search – Fastest search plugin for WooCommerce. Supports AJAX search and search results page display.
TH Advance Product Search plugin is a powerful AJAX based search plugin which will display result for Product, Post and Pages. This plugin is capable to search across all your WooCommerce products ( Product title, Description, Categories, ID and SKU ) . Plugin comes with user friendly settings, You can use shortcode and widget to display search bar at your desired location. 
This plugin provide you freedom to choose color and styling to match up with your website. It also supports Google search analytics to monitor your website visitor and searching behaviour.
<a href="https://themehunk.com/docs/th-advance-product-search/" rel="nofollow ugc">Docs</a> | <a href="https://themehunk.com/advanced-product-search/" rel="nofollow ugc">More Details</a> | <a href="https://themehunk.com/contact-us/" rel="nofollow ugc">support</a>.
Key Features:-
⭐ Quick and Fast Search 
⭐ Fully Responsive & Mobile Friendly 
⭐ Search WooCommerce products 
⭐ Search Analytics Support 
⭐ Advanced Search for WooCommerce Product ( Categories, Description, Image, Price, SKU’s ) 
⭐ Advanced Search for Post ( Categories, Description & Image ) 
⭐ Advanced Search for Pages ( Description & Image ) 
⭐ Search using AJAX search 
⭐ Exclude specific content from search results 
⭐ Color Manager options for each Search element 
⭐ Supports multilingual 
⭐ Display Search Forms anywhere on your site. 
⭐ Autocomplete Search 
⭐ Fully compatible with WordPress Themes 
⭐ User Friendly Customize Panel 
⭐ 24×7 support available for free product too
Pro Features:-
⭐ Search Products, Page and Post using AJAX Search. 
⭐ Plugin specially developed for WooCommerce product search, Search content from all your website pages, Search post content (like title, description, category). 
⭐ Product Search Scope like Search in Category, Tag, SKU, Attributes, Description and Short Description. 
⭐ Pro version has Search Bar Display Options like Shortcode, Search Widget, Menu and PHP code. 
⭐ Pro version comes with Unlimited Color options for Search elements 
⭐ It also Supports multilingual 
⭐ Fully Responsive & Mobile Friendly 
⭐ Display Search Forms anywhere on your site. 
⭐ Fully compatible with WordPress Themes 
⭐ User Friendly Customize Pane 
⭐ Priority 24×7 support available
MORE PLUGINS FROM US
Here are some additional plugins that were made with love.
<a href="https://wordpress.org/plugins/lead-form-builder/" rel="ugc">Contact Form</a> – Contact Form & Lead Form Elementor Builder 
<a href="https://wordpress.org/plugins/th-all-in-one-woo-cart/" rel="ugc">Cart for Woocommerce</a> – All In One Woo Cart is a perfect choice to display Cart on your website and improve your potential customer’s buying experience. 
<a href="https://wordpress.org/plugins/wp-popup-builder/" rel="ugc">Popup Builder</a> – Popup Forms , Marketing PoPuP & Newsletter 
<a href="https://wordpress.org/plugins/th-product-compare/" rel="ugc">Product Compare</a> – Product Compare plugin helps you to create interactive product comparison tables. 
<a href="https://wordpress.org/plugins/th-variation-swatches/" rel="ugc"> Variation Swatches</a> – Variation Swatches is a Free easy to use WooCommerce Swatches Plugin
<h3>Supported Themes</h3>
These themes have been tested and are compatible with search plugin without significant issues. Also you can use this plugin to your Block, Elementor, WooCommerce Pages:
<ul>
<li><a href="https://wordpress.org/themes/th-shop-mania/" rel="ugc">TH Shop Mania</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/top-store/" rel="ugc">Top Store</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/open-shop/" rel="ugc">Open Shop</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/zita/" rel="ugc">Zita</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/big-store/" rel="ugc">Big Store</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/m-shop/" rel="ugc">M Shop</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/royal-shop/" rel="ugc">Royal Shop</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/open-mart/" rel="ugc">Open Mart</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/gogo/" rel="ugc">GoGo</a> – by ThemeHunk</li>
<li><a href="https://wordpress.org/themes/twentytwentytwo/" rel="ugc">Twenty Twenty-Two</a> – by WordPress.org</li>
<li><a href="https://wordpress.org/themes/hello-elementor/" rel="ugc">Hello Elementor</a> – by Elementor</li>
<li><a href="https://wordpress.org/themes/oceanwp/" rel="ugc">OceanWP</a> – by oceanwp</li>
<li><a href="https://wordpress.org/themes/neve/" rel="ugc">Neve</a> – by Themeisle</li>
<li><a href="https://wordpress.org/themes/go/" rel="ugc">Go</a> – by GoDaddy</li>
<li><a href="https://wordpress.org/themes/generatepress/" rel="ugc">GeneratePress</a> – by Tom</li>
<li><a href="https://wordpress.org/themes/hestia/" rel="ugc">Hestia</a> – by Themeisle</li>
<li><a href="https://wordpress.org/themes/colibri-wp/" rel="ugc">Colibri WP</a> – by Extend Themes</li>
<li><a href="https://wordpress.org/themes/kadence/" rel="ugc">Kadence</a> – by Ben Ritner – Kadence WP</li>
<li><a href="https://wordpress.org/themes/astra/" rel="ugc">Astra</a> – by Brainstorm Force</li>
<li><a href="https://wordpress.org/themes/kubio/" rel="ugc">Kubio</a> – by Extend Themes</li>
<li><a href="https://wordpress.org/themes/zakra/" rel="ugc">Zakra</a> – by ThemeGrill</li>
<li><a href="https://wordpress.org/themes/storefront/" rel="ugc">Storefront</a> – by Automattic</li>
<li><a href="https://wordpress.org/themes/onepress/" rel="ugc">OnePress</a> – by FameThemes</li>
<li><a href="https://wordpress.org/themes/blocksy/" rel="ugc">Blocksy</a> – by creativethemeshq</li>
</ul>

Advance WordPress Search Plugin

Responsive Search Plugin for WordPress and WooCommerce. Best Live Ajax Search Support Plugin. TH Advance Product Search plugin is a powerful AJAX base …

Somewhere search box vs Advance WordPress Search Plugin