A coulpe of times I've needed a coil, but did have a burnt one as a sample.
I measured the wire diameter with a vernier and RS Components sold ($10 and free delivery) almost the correct gauge (0.17 vrs 0.18mm sort of thing).
I tried to count the turns as I unwound it but the coil was too far gone. I then weighed the complete coil.
Using a drill I wound the new copper onto the old coil former and stopped to weight it occasionally. I don't think it is too important to lay the copper in perfect layers, just fill any lows as it is wound.
When the weight was correct, I cut the wire and soldered it to the lugs.
The coils work fine but don't look as good as a factoty one.
Andy