It all depends on what "better" means to you.
No browning did not,but winchester made a ranger model pump action shotgun.
No not to my knowledge but Winchester did.
Winchester did not make a model 96 shotgun,they did make a model 97 shotgun however.
Browning does not make an A bolt shotgun, they sell an A bolty rifle
No.
Browning did not make ammunition. They contracted another company to make it for them.
If you have the money....
He was an inventor.
1902
Yes
No winchester makes a model 1300 shotgun.
Yes