Being honest here - most (but by no means all) M1903s available to us here in the Peoples Democratic Republic of NZhave been put together from parts by collectors/shooters in this country, so maybe try not to think too much about the rifles history..... it mightn't have much in its current guise.
Show us a lot of good close up photos once you have it.
If you end up needing some 'R' marked parts, there's a gentleman in Invercargill who has them all and will be happy to supply you the right parts.