I guess MrCharly is hoping for a cheap easy to fit answer to this problem. The picture of the mechanism is discouraging, not because it;s complicated, but because there’s no room for simple modifications.
For example the motor is already fitted with a tiny pulley, whilst the wheel drive shaft pulley must already be as big as will fit : forget simply changing the pulleys! Same problem at the wheel end – the leather drive wheel and clutch have to align with the drive disc.
A countershaft would do it, but not much room for one. I think it would have to be bespoke, a fairly significant amount of work even if one has a junk-box full of bearing blocks and other goodies.
A fixed gearbox might be made to fit, but the input and output shafts have to connect the motor and wheel in alignment, unlikely to ‘just happen’.
Possible to speed control some types of single-phase motor, but not straightforward. As many single-phase motors can’t be speed controlled, MrCharly might waste a lot of time and money discovering that his motor is unsuitable.
I think the easiest option is to replace the motor with one that has speed control. Either a industrial sewing machine motor assembly or a 3-phase + VFD. The sewing machine assembly isn’t plug and play because their motors spin at 4000 or 5000 rpm. In comparison, a 3-phase motor spins at much the same speed as the existing single-phase, and a basic VFD is easy to fit. Main complication I think is the small pulley – the existing one might not fit a new motor. Not a problem, because pulleys to fit new motors are widely available.
If money is no object, buy the good lady a new potters wheel. For a mere £3500 you get a built in seat with a 550W motor, 0-240rpm, and reverse. More important, ‘She Who Must be Obeyed’ cannot object to MrCharly spending the same on his hobbies!!!
Dave