Let me add to this. Per 'The Springfield 1903 Rifles' by Brophy,

Shooting championships of national stature supported by both civilian and military funds and shooters began in 1873 at the National Rifle Association ranges at Creedmore, long Island, New York. It moved to New Jersey Militia range at Seagirt, New Jersey in 1889. In 1907 it moved to Camp Perry, Ohio.

In 1908 the new Model 1903 became the official rifle to be used in the matches. In 1910, the star gauge card issued with some rifles containing bore dimensions was used in the selection of rifles to be tested for use in the matches. The selected rifles were then shot for accuracy from a bench rest. This process continued until 1921. In 1921, a new specially fitted and selected rifle was assembled at Springfield. It was identified as: Rifle, U.S., caliber .30, M1903, National Match. These National Match rifles were produced from 1921 through 1940 and they have a star stamped at 6 o'clock on the muzzle. Your rifle was manufactured mid 1920.

I started a thread on another forum requesting any info about your rifle from people that know more about these rifles than I do.

BINGO! Per John Beard, 'the rifle is indeed a 1920 National Match rifle as indicated by the configuration and serial number'.

http://www.jouster2.com/forums/showthread.php?75663-SRS-Info