Technically its probably specified as Admiralty Fine as all sizes below 1/2" are 24 tpi Whitworth form. Admiralty being notorious for appearing on all sorts of odd-ball sizes.
Good luck with finding a die! Maybe a thread reforming file will be close enough.
In practice I guess its just "the thread wot they used". Seems to be common on smaller UK made motors of a certain era.
BA, as suggested by Hopper, is too fine. 4 BA and 3 BA are close in diameter at 0.1425" and 0.1610" respectively (5/32 is 0.1563" ) but the threads are 38.7 and 34.8 tpi respectively. I've seen several motors with 3 BA studs.
Clive
Edited By Clive Foster on 28/03/2020 10:26:07
Edited By Clive Foster on 28/03/2020 10:26:37