Search field with pre-selected filters

Hi, this is probably more a feature request, unless this is already possible, of course:

We wish to use search a field that will dynamically have a filter pre-selected when used, for example, from an archive page of a taxonomy that is used for filtering in Jetpack Search. Not sue if I’m able to explain this clearly enough but imagine: a visitor lands on a category archive page and then decides to do a search from the search field on that page, it would be great if that search would be done with that specific category automatically selected in the Jetpack Search popup.

What we’re currently doing is providing a custom button like “Search in Photography” with links like ?category=photography. Clicking a button will successfully open the Jetpack Search popup with Photography pre-selected. The user can then start entering search terms and all results will be in the desired category.

It works but… it would be even better if the user could start with entering a search term (in the sidebar or header) without first having to open the pre-filtered search via our custom button.

Thanks for considering or sharing how this could eb achieved in a better way that we’re currently doing ??