Every Monday we will post an entry that hasn’t yet been published with a view towards harnessing the collective onomastic power of the internet. If you have any thoughts about the name’s origin, other variants it might be related to, other examples of its use, etc., please share them in the comments! If you wish to browse other Mystery Monday names, there is an index.
Today’s name is a Catalan feminine name found in Valencia in 1510:
We’re not sure if this is a given name or a byname — the entry simply reads na Fogueta, vídua (V sous). The masculine form Foguet is a modern Catalonian byname, and foguet as a word is the 3rd person preterite of the word “to be” in Occitan. So, a lot of interesting hints, but no clear story. Anyone care to weight in with their thoughts? Please share them in the comments!
Dictionary of Medieval Names from European Sources 
I’d say this is the feminine of the surname Foguet (Folget, Fogeth) found in Catalonia since the 11th c. Compare “lo honorable Joan Foguet pages fill legitim y natural des honorables en Joseph Foguet pages y de la honesta na Magdalena Fogueta muller de aquell”.
https://books.google.com/books?id=8EYhAQAAIAAJ&q=%22fogueta%22
Against this: most female names with the personal article na mentioned in the Cens are given either in the form na + first name + surname, or na + first name only (e.g. “na Beatriu”, “na Catherina”). But there are a few cases of na + surname, e.g. “na Figueres” on p. 224.