Regimental insignia. An area that I am not good at.
Yes I came across the same badge after some searching and I reckon its a match. But ditto on the other one, it seemed to be hand painted so who knows!
Was the 147th part of the 37th?
I don't think so. It's different unit but from the same place.
Definetly battalion regimental insignia as Steve says real common with infantry liners. timothy