Thanks for these. See the shoulder badge of 4th Indian Division.
I think I have traced the lineage, in autumn 1938, 5th Battalion (1st Line TA) Kings Own Yorkshire Light Infantry was converted to 53rd LAA Regiment RA. In spring 1939, the 2nd Line TA was split from it as 57th LAA Regiment RA. The sources say that not all personnel were Yorkshire.
Added: So Cheshire Regt. 4 TA battalion pre war and at some point transferred to 5/KOYLI converted to 57th LAA Regt.