There’s a good chance your 20 ga. was made by Winchester.
All the JC Higgens shotguns I've seen were made by High Standard. The only Sears firearm that Winchester made was the model 54, a lever action rifle. Savage/Stevens made most Wards shotguns, Winchester apparently didn't make any of those either.
I had a 20 ga JC Higgens, and my Dad had a 12 gauge. They were both High Standards and I've handled the equivalent High Standard Models.