The Revised United States Army Regulations of 1861 stated on p.469 para 1544 " For the Medical and Pay Departments - small sword and scabbard, according to the pattern in the Surgeon Generals office." This was not staff or foot officers sword pattern of 1850. Usually it was only worn for parades or dress formations. It was pretty useless as a weapon and was just something else to lug around.
your obedient servant,
Surgeon, 2nd Brigade
"not really a surgeon, but I did stay at a Holiday Inn Express"