BA is likely, but the age of the lathe (1950 – 1975) means they could also be BSF, BSW, UNC or UNF. Metric might have been used on late models, but unlikely. Even though the UK decided to go metric in 1963, and BA threads were declared obsolete in 1966, metric wasn’t widely used before about 1980. In 1950, when the Type C first appeared, a British maker would probably have gone for BA (which are excellent for small fasteners), except the UK decided to standardise on UN in 1949, and Denford might complied with that.
Best to measure threads – it’s a muddle. Even with a good eye it’s not always easy to identify a thread system, nor is it completely safe to rely on what individuals have today; they may have a variant. Therefore I suggest coughing up for a couple of thread gauge sets and a jewellers eye-piece.
Example from RDG, other vendors available!

Gauges are eliminate many mistakes and are quick and easy.
Whilst £16 might seem an expensive way of identifying a few nuts, they’re worth it in the long-run. Gauges save a lot of time and aggro. A man who has invested in a Boxford CUD is surely in it for the next 30 years! Though RDG sell a BA Gauge, you can probably manage without if money is short. If a thread doesn’t fit any of the above set, isn’t spaced at an integer TPI, and has a rounded look, it’s probably BA.
As a rule of thumb, expect to spend as much on tooling as you paid for the lathe! And then materials and consumables have to be paid for too!
Dave