Matthew Leishman was a Scottish minister. He served as minister of Govan Old Parish Church for 53 years, during which he served as Moderator of the General Assembly of the Church of Scotland in 1858.

Govan Old Parish Church is the name of the original parish church serving Govan in Glasgow from the 5th or 6th century AD until 2007. In that year, the Church of Scotland united the two Govan congregations with Linthouse and established the parish church at Govan Cross, making Govan Old redundant.