OBITUARY.---Col. RICHARD H. RICHARDSON, formerly of this city, died at his residence be- tween Deansville and Oriskany Falls, last Thursday. Some few weeks since the Colonel received a fall which resulted in severe external and probably internal injuries, from the effects of which he at last died. In 1860 Mr. RICHARDSON went out as Lieut. Colonel with the 26th New York regiment under the first call for troops issued by Presi- dent LINCOLN. On the resignation of Colonel CHRISTIAN Lieut. Colonel R. was promoted to the command of the regiment about the time of the first battle of Fredericksburg. He was in the battles of Cedar Mountain, Gaines Mills, Rappahannock Station, Thoroughfare Gap, Bull Run, (second,) Chantilly, South Mountain, Antietam, and Chancellorsville. He held the commission of Colonel eight or nine months but led his regiment at the battles of Bull Run, Chantilly, South Mountain and Antietam, while Col. CHRISTIAN was acting Brigadier General. He came home with his regiment in 1863 and shared with it the honors given by our citizens. Col. RICHARDSON was rigid in the performance of his military duties. He leaves a wife and one child.