It is a 239 .The 256CI (EBY) was a continuation of the SMALL CAM 239/256/272CI.
You will have to ID what engine you have.
It sounds like your engine is an 239CI EBU and the previous owner also sourced an EBV DIST for possible upgrade.
The 14 tooth gear number is 12127; the 13 tooth is temporarily installed .The 14T may also be a 1957/ DUAL ADVANCE DIST used to convert from LOAD-O-MATIC to later DUAL ADVANCE IGN.
There will be ID NOS on the DIST BOWL(s). Post them if you can.
To match the number of teeth on two different styles of camshaft.I have two 1954 distributors; one has 14 teeth and the other one has 13 teeth ( shaft gear ). Why ?
The 14 tooth gear number is 12127; the 13 tooth is temporarily installed .