Best I can do for old Winchester’s is a Model 67 .22 rifle.
I idea how old it is. As I recall, there’s no serial number.
Well, I can almost guarantee it’s pre-1935. Other than that, it’s anyone’s guess ... unless you were to post a pic of it.
I take that back. I was, in my own mind, referencing the NFA of 1934. Serial numbers were not mandated until 1968 with the GCA, though it sounds like yours is quite q bit older than that.
I’ve owned several Model 67’s. None of them had serial numbers. The model ended production in 1963, five years before the GCA of 1968.