Hugh Cragg Farthing KC (July 17, 1892 – June 8, 1968) was a Canadian provincial level politician, lawyer and judge from Alberta.

He served as a member of the Legislative Assembly of Alberta from 1930 until 1935 representing the electoral district of Calgary.

[1] He was educated at Kingston Collegiate Institute and McGill University completing his Bachelor of Arts in 1914,[2] where he was also a member of Kappa Alpha Society, and later Osgoode Hall Law School to complete a Bachelor of Laws in 1919.

[4] After his defeat from provincial politics Farthing ran for a seat in the House of Commons of Canada in the 1940 Canadian federal election in the electoral district of Calgary East under the National Government banner.

He was defeated finishing a close third, in a race that ended in one of the most dramatic four way splits in Canadian History.