Remmington 03a3 sniper?

[JGaynor]

Just to give you a bit of a hand there are two government manuals in the sticky section of this forum:

Here are links:
TM 9-1270 U.S. Rifles, Cal .30, M1903, M1903A1, M1903A3, M1903A4 Sniper
TM9-270 U.S. Rifle, Cal. .30, M1903a4 (Sniper's) Characteristics and Operation

The gray parkerized finish of the bolt suggests the rifle was rebuilt at least once. Restoring a rebuilt rifle is easier than trying to get it back to "factory" issue. Also you have the correct bolt. The bolt is worth $500. all by itself.

Regards,

Jim