Richard Hanson Weightman (December 28, 1816 – August 10, 1861) was an antebellum delegate to the United States Congress from the Territory of New Mexico, serving one term from 1851 to 1853.

He graduated from the University of Virginia at Charlottesville in 1834 and attended the United States Military Academy at West Point, 1835–1837, but was expelled for contemplating a duel.

He subsequently studied law and was admitted to the bar in 1841 in the District of Columbia, but did not practice.

He was promoted to command of the First Brigade, Eighth Division, June 20, 1861, and led it competently at the Battle of Carthage on July 5, 1861.

[1] This article incorporates public domain material from the Biographical Directory of the United States Congress