A thread on an old piece of gear could be almost anything.
Decide if you wish to restore it, or make it work easy.
Start with a set of thread gages for both metric and inch threads. Add Whitworth, at least.
Screw a tapered piece of hardwood, into the hole to pick up the thread pitch and diameter. Compare carefully, make your best guess as to which is the best fit. Research old thread forms, to see if what you have is one of those, or just a mangled version of a newer type.
Drinking heavily helps.
In all seriousness, modify the new part to fit the old, not the other way around.
By carefully comparing the available thread pitch gages, you should get a good idea of what type of thread it may be. Old stuff rarely started out with modern threads in it.
If it is metric, then you can work out the diameter.
Same if the TPI matches an available spec.
Whitworth threads and BA (British Assosciated) were kinda oddball half inch, half metric, and have some specific other issues to overcome (round crests and roots, odd included angle, and a geometric progression of sizes) But taps and dies are still available.
Rinse and repeat a couple times with the hardwood wedge screwed in to the hole. Each pass can clean out more mung, and make it more like that you can sort out the actual thread size that was used.
There is probably an app for that....Would not know firsthand, though...