The bolt body and cocking piece in your rifle are from a Remington M'03-A3 rifle. The bolt sleeve and safety lock are correct Smith-Corona parts. I will also mention that the magazine cutoff is a replacement from a Springfield Armory M1903 rifle.

You have a nice rifle.

J.B.

p.s.,

Mid and late-production Smith-Corona bolts are marked with an "X" atop the handle. The "X" is frequently mis-stamped and can look like a "V". A Smith-Corona bolt will also have a 1, 2, or 8 stamped underneath the handle. A Smith-Corona cocking piece is unmarked and has a distinct approximate 1/8" spacer in front of the knob.