I can remember batties in Messes when I lived-in during the late 70s and early 80s (there were goblin teasmaids at Linton, Finningley and Marham apparently (cough)) at that time). I think the batties were replaced with kettles in the rooms at some point in the early 80s. Not sure when service personnel stopped being batties, in my time they were all civvies. Like the OP, my father was a flt lt V force chap and we lived in quarters but I dont remember us having a batty - this was in the mid 60s. We did have a local lady looking after our hiring in Limassol in the late 60s and I think she was employed by the station (Akrotiri) and not by my parents.
And now I am married so I have someone to Wash, Iron, F*** Etc (thank God she doesnt read Prune or I would be a dead man).