William Frederick Paul Stockley (29 June 1859 – 22 July 1943) was an Irish academic, Sinn Féin politician and Teachta Dála (TD).

He was the son of John Surtees Stockley (1816–1863), who had been a British Army veterinary surgeon with the Royal Artillery during the Crimean War (and for which he was awarded the Légion d'Honneur by the French government), and Alicia Diana Catherine Gabbett of High Park, Caherconlish, County Limerick.

[3] Stockley took a senior moderatorship in modern literature at Trinity College Dublin, where his classmates included Douglas Hyde, and graduated in 1883 with a BA in English and French.

Along with others, he maintained that the Irish Republic continued to exist and that the rump Second Dáil, composed of anti-Treaty TDs who refused to take their seats in the Free State parliament, was the only legitimate governmental authority in Ireland.

In 1938, he was one of seven remaining abstentionist Second Dáil TDs who transferred the "authority" of what they believed was the Government of the Irish Republic to the IRA Army Council.