Again I will wait for someone with access to Internet gun club data to cut and paste it in. Thomas Wild was a very prolific maker of guns of all grades. Your gun is post 1925 nitro proof and looks in good condition. The little bit of information that may date the actual year it went through the Proof House is not clear in the photo. If you look at the picture of the barrel flats that you posted there is a small mark in the upper left of the picture. This is the crossed sceptre mark and should have one or two letters in the cross. If you can read these and post it I can give you the date. The serial number looks like 19797, if this is so then it dates to 1938/9.
Don't worry about the length of stock as you can either have it lengthened or use a slip on pad. Use and enjoy but note the 2 1/2" chambers and use the correct ammo. Lagopus.....