Parker identification

[Blake Hill]

Hello! Recently my grandfather passed away and soon after my father and I inherited a T-parker shotgun, stamped on the plate. This gun has always hung above the fireplace at the hunting camp but feeling a little beat up I want to use it grouse hunting this year. Proove old still works sort of thing. Anyhow the stock has a crack and its missing a hammer but I'd really appreciate help making sense of the stamps. I thought I was pretty good with firearms but there are just too many stamps and too much information. Any help would be greatly appreciated.