"My only hesitation is the bolt won't withdraw completely as it should."
That could be a danger sign.
I THINK that both the Model 1905 and the Model 1910 had the same design flaw that allowed the bolt to be reassembled incorrectly.
On closing, the locking lugs would not engage, and on firing the bolt body would be propelled into the shooter's face, seriously injuring or killing him.
Tell-tale signs of the bolt being assembled incorrectly are that it's hard to push into battery and, if you watch the bolt head, you'll note that it doesn't rotate into locking position.
Many rifles were modified once the problem was recognized, but some are still out there that were not.
The rifle marked US is more than likely one of the ones that was sent to the United States on our entry into the war. We were short on rifles, so we took guns like the Ross and Westinghouse-made Moisin-Nagant rifles to be used for basic training to free up M1903s and M1917s for combat use.
This seems to be a pretty good look at the Ross rifle. I've not watched the video because I'm at work, but the comments seem to be complimentary.
http://www.forgottenweapons.com/myth-and-reality-of-the-ross-mkiii/
The Ross is one of those really unique rifles that isn't well know, has a pretty big legend surrounding it (that's largely true), and has one of those love/hate relationships with the people who used it.
Even though the Ross was a failure as a general issue service weapon in large part due to its sensitivity to dirt (something other straight-pull rifles have shared), it was recognized for its exceptional accuracy and was highly sought after as a sniping weapon not only during World War I but into World War II as well.