Two comments Sorry to be depressive.
To calculate the DP of the gears.
OD = (N+2 ) / DP So, for the 60T: 62 / 5.647 = 10.979. Which, as Russel said looks like 11DP. An odd number in both ways!
Since the dimensions form the lathe are all quoted in Imperial, I think that we can discount the gears as being Module types Plus the 6oT with an OD of 143mm would be a 2.3 module, which seems to be even more odd.
May I suggest rechecking the tooth count and the OD, in case the gear is actually a more normal DP?
If a complete set contains 12 change gears, and you have only 3, buying the remaining 9 is going to be expensive. Possibly as much, or even more, than you paid for the lathe. And then, IF they are correct width, they will need to be modified to provide the correct bore and to cut the keyway.
My suggestion would be to see if you can find a Model Engineering Society close by, with a kind member who would be prepared to buy cutters, (more than one is likely to be needed, probably three without checking, so you are looking at £60 -70 as a starting point ) and to cut you as set of gears,
Either way, whether or not the gears are a strange DP, it is going to cost a bit!
Howard