Gareth
When you say it has "8 slots on the tumbler. None of the others I have seen have tumbler on the lead screw" it sounds as if you are saying it has a screwcutting gearbox fitted. Tumbler normally refers to the mechanism by which the lead screw direction of rotation is reversed using tow gears on a lever operated pivot.
If it has got a gearbox the only Granville machine documented as having gearbox is the Star, essentially a slightly enlarged and improved Senior. See this link for details **LINK**. If it is actually a Star or has the Star gearbox fitted this unit is essentially a Southbend 9" gearbox copy and therefore functionally the same. Boxford and Denford also used a SouthBend copy.
Alternatively the machine may have been fitted with a home built gearbox such as the Sparey and Agola designs or the Hemingway kit shown here **LINK** .
It is of course possible that a SouthBend, Boxford or similar small lathe gearbox has been grafted on by previous user.
Whatever the metric screwcutting conversion will be done in the same way using 127-100 compound gear pair to do the metric conversion with appropriate other gears fitted. An internet search for Boxford Metric Screwcutting Gear Chart will give several to choose from. In general the method is identical with the extra gear choices being governed primarily by the lead screw pitch and gears available. Published charts are arranged for clarity and simplicity with a simple linear format and need a selection of extra gears. Versions using fewer gears can be found but then to be harder to follow as the changes hop around rather. If slightly imperfect, but still adequate for faster use, conversion is acceptable you can get away with even fewer gears. Various examples can be found on the internet.
Clive