Hello Sheriff,
Your revolver was manufactured in December of 1863. The letters W and T are government inspector stamps indicating the revolver was probably sent to the Government. There are no records by serial number of where these revolvers were sent. The Springfield Research Data Base lists the two closest revolvers to yours those being SN 49938 and SN 50043. Both of these revolvers were issued in March of 1864 to Company K 3RD Arkansas Volunteer Cavalry.
Hope this helps
Bill