Not sure about your year of car, but the Falcons with v8s up to 65
used a Borg Warner t-10 for Ford applications.
4-speed were not used with the 6cylinders that I am aware of.
My 65 Ranchero has a Borg Warner in it-----kinda half heartedly looking for someone to rebuild the shifter----not a common trans in the Falcons I guess.
Mustangs of the same era used the toploader and they are virtually a Falcon with different fenders.
The shifter comes up in the center of the hump in the mustangs
The shifter comes up just to the left of the hump in the Falcons, so, the two cars do not use the same shifter.