Henry James Tollemache (1846 – 2 April 1939) was a British Conservative Party politician. He served as the Member of Parliament successively for West Cheshire (1881–1885) and Eddisbury (1885–1906). He was the third child and eldest son of Wilbraham Spencer Tollemache and Anne Tomkinson of Dorfold Hall, Acton, in Cheshire. His father was the younger son of Admiral John Richard Delap Halliday (who assumed the surname and arms of Tollemache in 1821) and the brother of John Tollemache, 1st Baron Tollemache. Henry Tollemache married Katharine Mary Frances Streatfeild in 1904; his wife died in 1916. The couple had no surviving children, and Dorfold Hall passed to his nephew, Christopher F. Roundell, the son of his eldest sister, Julia (1845–1931).