Henry Calver Francis (16 December 1826 — 16 May 1866) was an English first-class cricketer and umpire.
Francis was born in December 1826 at Southwold, Suffolk. He was a prominent figure in Cambridgeshire cricket between 1849 and 1862, making his debut in first-class cricket for a Cambridgeshire representative side in 1849 against Cambridge University at Fenner's. He featured intermittently for Cambridgeshire sides in first-class cricket until 1862, making seven appearances. Playing as a batsman, he scored 218 runs at an average of 24.22, with one century, a score of 114, which came against Cambridge University in 1857. In addition to playing, Francis also stood as an umpire in a first-class match between Cambridgeshire and Surrey in 1862. Francis died at Godmanchester in May 1866.