Inherited a BSA air rifle from my late Father.
Hello Ian. Condolences on the loss of your father.
That's a 1930s breakdown pattern BSA and a similar age Webley Mk1 prewar pistol. Nice.
To date the BSA precisely I think you would have to ask John Knibbs International, who own the factory ledgers, and they charge a fee for the service. You can find a rough date for the rifle here.