Born: August 24, 1808, Leith, Scotland.
Died: December 20, 1884, Pinkieburn, Musselburgh, East Lothian, Scotland.
Buried: In the family burial ground in the churchyard at Inveresk, Scotland.
William was the son of William Alexander, a merchant of Leith, and Elizabeth Lindsay.
He studied at the Universities of Edinburgh and St. Andrews, then became, in 1828, Classical Tutor in what later became The Lancashire College.
After studying in Halle, Germany, in 1835 he became minister of the North College Street Church in Edinburgh. In 1861, he moved with his congregation to a new church in George IV Bridge, called the Augustine Church. He retired from that pastoral charge in 1877.
In 1846, Alexander received a DD degree from the University of St. Andrews, and in 1884 an LLD from Edinburgh. From 1854–81, he was a professor at the Scottish Congregational Hall. In 1870, he became a member of the Old Testament Revision Company.
Alexander wrote and edited a number of theological works, and: