Although there is a fair amount of discussion about National Match M1903s, most of it is mainly about the rifles in the 1928-39 range, there is relatively little on those made before World War I. I had a chance to read an unpublished article written by our own John Beard about this subject.
For one thing, as a rule pre-WWI National Match rifles were not sold but "loaned" to participants. As a result, there are few of them in private hands in original condition (John estimates a dozen or less. As I recall, there is one or two held by members of this forum, including me).
Pre-WWI NM rifles are "missing" a number of the features which are seen on later National Match rifles; these include a) star gauge stamp on the muzzle crown; b) the serial number etched on the bolt; c) the serial number stamped on the bottom of the stock. The early NM does have a polished bolt and polished "raceways" and follower rib, among other features.
One "specific" I found out was that, for the 1915 and 1916 National Matches, about 2200 National Match rifles were manufactured, all in serial number order. The order was from about 603,111 to about 605,347. The first half, according to John, were issued for the 1915 National Match, and the rest, during the 1916 National Matches. My rifle (605178) was apparently one of the 1916 rifles.
What brought up all this to me was a gentleman on the Facebook M1903 forum reported obtaining M1903 #603758, one of the 1915 rifles. While it had a couple of the NM features, some parts like the stock had obviously been replaced. It has a 1914 barrel, which John said may have been original. Another obviously non-original feature was the extended "Air Service" magazine (The original discussion started as to whether it was an Air Service M1903, which of course, it was not)
John and I both agreed that since nearly all of these rifles were turned in after use, and the U.S. was mere months away from participation in World War I, a large number of these rifles were probably "reintroduced" to use as service rifles, and, except for a few example, more or less disappeared.
Here are some pictures of the gentleman's rifle from Facebook:
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