Store Locator Plugin Guide
Does Agile Store Locator Support Search by Store Names?
Yes, the plugin is capable of searching stores by their names. The administrator has the option to enable either search by address or by stores names. Moreover, the option is provided in "ASL Settings" as shown in the image below.
You can also include this feature by the shortcode attribute "search_type", the complete shortcode for search by store name option is the following:
Demo of Search by Store Name.