You have to remember that threads that are approaching, or exceeding, 100 years old now have probably distorted over the years so may not fit a thread gauge as perfectly as a new thread. Best shot is to do as Chris Evans 6 said above and take your best measurements and make a dummy piece in the lathe and see how it fits. 22tpi sounds a good starting point.
It is not critical whether you use a 60 degree, as would have been used on American Extra Fine 7/8 x 22tpi, or a 55 degree screwcutting tool as most likely would be used on a British thread. The one will screw on to the other as evidenced by Whitworth and UNC threads of the same tpi, ditto UNF and BSF.
It's quite possible the carb manufacturer used their own mongrel thread for this as it's for a special part, not a standard fastener. Lots of it about on old motorbikes.