Google Maps took me to a row of substantial looking semis on the south side of Bullsmoor Lane, though I didn’t get a Streetview opportunity to check that one of them was numbered 64. So far as one can tell anything about the building style from a bird’s eye view, they might well have been there in 1940. If built with a garage (subject of one of the clues) then I’d imagine they were built in the 1930s, rather than significantly earlier. The 1928 electoral roll shows only a small number of voters in Bullsmoor Lane, whose addresses appear to be farms, stables and named (not numbered) houses, so the suburban development must have taken place in the years following that.
Presumably no 64 was where the Antiques Roadshow lady lived when she found the stuff in the early 80s, though it wasn’t made explicitly clear.