It's real enough. 1935's exist tho 31's seem to be commonest, followed by 33's. It's been through the mill with some parts replaced....indeed the forend & butt appear to be grubby beech (look at the grain carefully) rather than walnut. The scope is clearly a miss-match, but then again it's a genine Trials T with a genuine Mk3 scope, a genuine bracket, & genuine No8 Mk2 case. The stencilling on the chest is clearly spurious. As Peter says in the UKthe 'mount' would be referred to as a bracket. Also our clever dickie has even stencilled what I take to be the cradle clamp serial numbers for good measure!
Just my 2c
ATB