The 306199 base gasket was used in the 15020 to 15029 models and the 15922 to 15927 models. There are actually 2 of them, sandwiched around the 306210 baffle.
Same setup was used on your ’61 so good there.
Now, I have seen the baffle removed on some, and a thicker gasket installed in its place, instead of the 2 thinner ones and baffle. Just to note.
Also, the 303860 drive shaft, and 303917 water tube, and 303098 shift rod were also all the same on these models, and on your ’61.
I don’t see why it wouldn’t work.