James Stewart Carrick (4 September 1855 – 2 January 1923)^[1] was a Scottish rugby union and cricket player. He died in Seattle, Washington in 1923.

Carrick was a genuine all-round sportsman, playing international rugby as a full-back for Scotland, and appeared in a few important cricket matches. He was clearly a highly accomplished player, the only batsman to take a century off Nottinghamshire CCC between 1887 and 1890 when they dominated county cricket.

A notable cricketer who took the record for the world's highest score at the age of 29, Carrick scored 419 not out for the touring West of Scotland team against Priory Park in Chichester in July 1885. A left-handed batsman, he batted for 11 and a half hours and the second day's play was extended by a few minutes to allow him to beat William Roe's 415.

Carrick opened the innings and batted for the entire two-day match, making his score out of 745/4. He scored one eight (a huge hit to square leg), two sixes, two fives and 30 fours. The Priory Park bowling was headed by James Lillywhite, a bowler with over 1,200 first-class wickets, including eight in his two Tests, but who was caned for 170 here. Carrick's innings featured strong off-driving and hefty blows to leg and was blemished by only two chances, to deep-mid-on and the keeper. Priory Park put the chance to become part of history above any resentment over the lack of a declaration and, the record achieved, Carrick was "carried to the dressing room amid immense cheering".

His brother, John Carrick, played cricket at first-class level.

• List of Scottish cricket and rugby union players