One has to be very, very careful with Stevens-Savage "snipers". Most Stevens-Savage No, 4 rifles with some sniper features seem to be of the (T. LESS TELESCOPE) variety. There are thought to have been about 3,000 partly converted by Holland and Holland, and these have the sniper cheek rest, S51 Holland and Holland mark and scope pads installed etc. They never had scopes assigned, so do not have the "T" Mark, scope SN or scope and bracket. The serial numbers for (T) and for (T. LESS TELESCOPE) are intermingled. Sadly it is easier to fake one of these as much of the work is authentic.
Members here on this forum are happy to help verify No. 4 (T) but many photos are advisable especially for any markings or sniper features. Buyer beware. Do your homework!