Indeed, he was the first man to net 100 league goals for the club and by the time he left the Light Blues in 1908 he was their record scorer.
Although a few have surpassed his tally of 182 goals in 209 competitive appearances and 310 in all matches since then, one mark he set still remains to this day.
With 35 goals, nobody has scored as many times for Gers in derbies against Celtic as the Elgin-born forward did to this day.
Signed from Queen’s Park in 1897 after he had started out with his hometown team, he quickly earned a reputation with Rangers as a potent scorer.
In particular, he had a knack of netting from long range and his form in front of goal led to him being the club’s leading scorer for nine consecutive seasons.
The part he played in the 1898/99 term, when Rangers won every league game to seal their first solo championship by a huge margin of 10 points, was as great as anyone’s.
Hamilton played in every game as captain and scored 21 goals including three hat-tricks against Partick Thistle, Dundee and, unsurprisingly, Celtic.
His tally that term wasn’t his best for the club though by any stretch. In 1903/04, he hit 28 league counters following four back-to-back titles but Gers could only finish fourth.
Hamilton won the Scottish Cup twice with Rangers and on both occasions he scored the clinching goal in a 2-0 win.
His strike against Kilmarnock at the second Hampden Park – later Third Lanark’s Cathkin Park home – sealed his first major honour as a Light Blues star in 1898.
Another effort five years later in a victory against Hearts at Celtic Park, the place where he once scored four times for Scotland in an 11-0 win over Ireland, secured his last.
Internationally, Hamilton was just as prolific as he was at club level as he scored 15 times for his country in just 11 games.
Although he didn’t score on his debut against Wales, he struck in each of his next six appearances and found the net 12 times in that sequence.
Hamilton left Rangers in 1906 for Fulham, won the Southern League with them and then returned briefly to Ibrox before departing again in 1908.
Later appearing for Morton, Hearts, Dundee and Elgin once again, he retired in 1913 and went into both education and local politics.
For the final six years of his working life, he was the town provost in Elgin and died in 1948, aged 71.
RC Hamilton (1897-1908)
Appearances: 209. Goals: 182.
Honours: four league titles, two Scottish Cups.
11 caps (Scotland).