It certainly isn't Dundee United as Dundee is considered either to be in Angus or Tayside.(Or some people think it a county in it's own right.) In either case it is across the River Tay from Fife.
The only other close football team I can think of is Alloa Athletic, but Alloa is in Clackmannanshire, next door to but not in Fife.
Maybe Rumbling has the right of it with the Ladies.
Have found the answer. It's Lochgelly United. They were active in the early 1900's. See Wikipedia for full details. Is Raith Rover Ladies team the same as Raith Rovers "big lassies" Surely not on a par with the only real Fife footballing side who play at East End Park. Only joking of course.
As Lochgelly United were disbanded in 1928, I don't think your question was fair. Saying "Who are...etc etc" implies that they are all still playing.
So there!
:-((