First off if this thread should be in another part of the forum, moderator(s) please move it. I realized after I started it that it was pretty minor compared to a lot of the threads in this area.
I made a number of measurements and calculations and figured that the outside diameter of the missing gear should be 1.505 in. (and circumference =4.728 in.) That number does not account for any "slop" in the gearing - it would be very tight to the existing gear.
The existing gear has 30 teeth and is .764 in. outside diameter. Thus the circumference is 2.400 in. and the teeth per inch of circumference is 30/2.4 = 12.5 teeth per in.
Using the above calculation of 12.5 teeth per in. for the new gear we end up with 59.1 teeth. I believe that the .1 extra tooth is due to the fact that my calculations allow no clearance between the gears (and possibly measurement error). If I treat this as a 59 tooth gear then the diameter would be 1.502 in. (and circumference =4.719 in). That make sense to me as it would allow several thou clearance.
In order to check the above I made up a small aluminium disk as shown below. I found that my 5/64 in. drill bit made a hole the correct size for the pinion. I should note that I first made up a brass disk of about 0.864 in and was amazed that it was too small. It turns out that I was still asleep and used the radius measurement for the diameter. The disk turned out very nicely so maybe I can use it for something else.


Fitted into place in the clock with the existing gear resting on top.

The result - not happy with the wide lines. I later used a bent pin and got a bit better result. I used a marking out spray can and it doesn't seem to stick very well. Maybe should have left it bake in the sun for a while.

The lines on the aluminum disk did allow me to check my calculations and they do match quite well.
I will now need to make up a disk divided into 59 and figure out how to mount it in my taig mill. Will also have to make a gear cutter - last time I used a single point cutter but this time I believe I'll make a cutter in the lathe - may be easier to get the tooth shape that way. Since the centre hole in the gear is so small I will have to make up an arbour (perhaps a two piece with a couple of pins that go through the gear. I do have a spin index and 4 in. rotary table with a tailstock so may be able to adapt one of these for my purposes.
Any ideas are welcome
John.