[1] Baker came to note as a rugby union player representing South Wales club Neath.
[5] While with Oldham, Baker won a cap for Other Nationalities in the 23–17 victory over England at Headingley, Leeds on 15 October 1924, and both his international appearances for the Wales rugby league team.
[6] Ambrose Baker played as a forward in Oldham's 4–21 defeat by Wigan in the 1924 Challenge Cup Final during the 1923–24 season at Athletic Grounds, Rochdale on Saturday 12 April 1924.
[7] During Ambrose Baker's time, there was Oldham's 16–3 victory over Hull Kingston Rovers in the 1925 Challenge Cup Final during the 1924–25 season at Headingley, Leeds, the 3–9 defeat by Swinton in the 1926 Challenge Cup Final during the 1925–26 season at Athletic Grounds, Rochdale, and the 26–7 victory over Swinton in the 1927 Challenge Cup Final during the 1926–27 season at Central Park, Wigan.
It was with Neath that he was first selected to represent Wales, brought in for the encounter with Ireland in the last Welsh match of the 1921 Five Nations Championship.