Richard Gilmour (September 28, 1824 – April 13, 1891) was a Scottish-born Catholic prelate who served as Bishop of Cleveland from 1872 until his death in 1891.

Gilmour was ordained a priest for the Diocese of Cincinnati by Archbishop John Purcell on August 30, 1852.

[3] After his ordination, Gilmour was appointed pastor of Church of Nativity of our Lord Jesus Christ Parish in Portsmouth, Ohio.

He served as a professor at Mount St. Mary's Seminary of the West in Cincinnati from 1868 to 1869 before being named pastor of St. Joseph's Parish in Dayton, Ohio.

[3] He received his episcopal consecration on April 14, 1872, from Archbishop Purcell, with Bishops Augustus Toebbe and Caspar Borgess serving as co-consecrators, at St. Peter's Cathedral in Cincinnati.