Nottinghamshire had played informal matches against Derbyshire in previous seasons, and joined Lancashire and Kent to make a third County side playing first class matches against Derbyshire in 1875.
George Hay, a cricket professional, made his first class debut in the season and became a regular player for several years.
Henry Shaw who worked as a painter for the Midland Railway, also made his debut.
Lancashire were all out for 68 in their second innings, but Derbyshire, with Shuker retired hurt, had only reached 77 before the close of play to leave the match a draw.
Nottinghamshire made 142 in the second innings, but Derbyshire were all out for 66 thanks to Shaw who achieved a hat-trick, and finished 117 runs behind.
In the last match, the United North of England opened with 83 and Derbyshire made 56 in reply.