BOOMER - Nate is correct, the 147 IS a NF, the only model IH flared the frame on to allow the larger flywheel & blower housing of the K321 to drop into. The later 1X8/1X9 series were the first wide frames that allowed the bigger HP Kohlers to fit into.
SPANKY - Sounds like somebody did some work on your CC in the last 42 to 43 yrs. Steering wheel swap and maybe a repaint of the hood. Is there any sign decals under the paint? The 147 should have the flares in the frame rails I mentioned, plus most had an electric lift actuator with a toggle switch on the right top side of the dash, no long lift lever to the right of the steering wheel. Hard telling what happened to the OEM steering wheel, may have been damaged beyond use while removing to rebuild the steering gearbox.
All Cub Cadets used the same transmission & final drives, gear drive, 3 spds fwd & 1 reverse, or Hydro-static. There were a few models, and 1100 & 582 Special that used a 4-spd Peerless transaxle & belt drive like other lesser garden tractors used but there's not many of those around.