I have now found out more about Richard Beddows who was awarded a congressional medal of honour and he is not the same as your Richard.
He was a Private in the 34th New York Battery. The event was at Spotsylvania on 18th May 1864 and he was awarded the medal on 10th July 1896. The citation reads: Brought his guidon off in saftey underheavy fire of musketry after e had lost it by his horse becoming furious from the bursting of a shell.
Richard was born on 27th June 1843 at Liverpool, England and he died in 1922, buried at a veterans cemetary in Westchester County, New York State.