William Lindsay FRSE SSC (24 November 1819 - 20 February 1884) was a Scottish shipowner who served as Provost of Leith from 1860 to 1866.

He was the son of Captain James Lindsay (d.1839), a shipmaster, and his wife, Helen Allan of Alloa.

He was apprenticed to Alexander Simson SSC nearby, at 38 Bernard Street[2] as a solicitor.

In 1864 he was elected a Fellow of the Royal Society of Edinburgh his proposer being Thomas Williamson.

He was grandfather to Charles Augustus Carlow FRSE, the son of his daughter, Mary Weatherstone Lindsay (1851-1929).