Alexander was born in Willenhall in 1887, the son of Richard and Eliza Pace. His father died in 1900, so by 1901 he was living with his widowed mother and brother Charles at 62 York Street, Wolverhampton. They were at the same address in 1911, but his brother was no longer living with them, and they were joined by a boarder, Louisa Smith. Alexander was now an Edge Tool Bobber for an edge tool manufacturer.
Alexander enlisted with the 4th Special Reserve Battalion of the South Staffordshire Regiment (service number 9796), and rose to become a Lance Corporal. He first served in the Balkans from 21 July 1915. However, he was killed in action on 26 April 1918 in France or Belgium. He is commemorated on the Tyne Cot Memorial.