FWW widget output urls should remember a search query. Currently if you search for something and then try to filter the results with the widgets they remove a search query from the url.

e.g. you are searching for a bowl:
https://foundthru.com/?s=bowl&post_type=product

and then filter by color:
https://foundthru.com/filter/red/

but it should be:
https://foundthru.com/filter/red/?s=bowl
or
https://foundthru.com/filter/red/q-bowl
or
https://foundthru.com/search/red/q-bowl

Maybe it would be good if a search query appears in Existing Filters widget, so users can remove it and easily return to the archive pages – it would be great for UX reasons! Or even get popular search queries indexed by google? Let me know what you think.