That housing casting number says it's a 55-57 Passenger/Corvette tranny. This is an excerpt from this page. 3707195 is a 55-57 Extension housing for all 3 speeds except OD & Heavy Duty. Part #4.317 in the same link above.
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Trans housing numbers.jpg (62.26 KB, 146 downloads)

Last edited by klhansen; 01/19/2022 2:40 AM. Reason: added tailshaft info

Kevin
1951 Chevy 3100 work truck
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1929 Ford pickup restored from the ground up. | 1929 Ford Special Coupe (First car)
Busting rust since the mid-60's
If you're smart enough to take it apart, you darn well better be smart enough to put it back together.