Your Western Field model 37 bolt action rifle was made for Montgomery Wards(Western Field) by Mossberg and sons.The Mossberg model 30 and your rifle are one and the same.The Mossberg model 30 single shot .22cal rifle was made from 1933-1935.
A" designates single shot.
The mossberg model 45A is the same gun as the western field model 47.
If your rifle is a single shot bolt action, I believe that was made by Noble as their Model 10.
The Western Field model 31A was made by Mossberg and Sons firearm Company.The Mossberg model 40,or model 44 while be the same as your Western Field bolt action rifle.
I understand it was Colt Colteer.
your western Field model 770a was made for Montgomery Wards(western Field) by Mossberg.The Mossberg model 472 and your rifle are one and the same.These rifles were made between 1974-1976.
Your western field model m766 was made by mossberg.The mossberg model 810B is the same firearm.