It sounds as though you're expecting to reverse the motor by swopping the Live and Neutral, which won't work with a single phase capacitor start motor. Assuming that is in fact what you have, and that you have a conventional connection box on the motor you need to take the lid off it and identify all the internal connections. There will be 4 or 6 terminal posts inside the box – if you have 6 things are slightly easier.
What you actually need to do is to change the two start winding connections, which means bringing them out from the connection box to your Dewhurst switch (and possibly doing away with a couple of links or straps within the connection box).
If the motor is bigger than about 1/3hp you really need to use a DOL starter with NVR and thermal protection – an overloaded motor may only draw an extra few hundred watts, not enough to blow a fuse but enough to burn the motor out, hence the need for a proper starter. If you want to reverse a single phase motor and retain the DOL starter then the wiring is more complex (Below is a typical wiring diagram which shows how I wired my Boxford with a reversing switch and still retain the use of the starter – it's in the Albums section. It is specifically for the motor I have fitted so may not be suitable for just any single phase motor, so I wouldn't just try it without checking your own motor carefully first).
I think your first step should be to take a photo or two of your motor, specifically the data plate and the connection box internals, and from that you may get some more help specific to the equipment you have.

Edited By Steve Pavey on 02/08/2015 17:17:52
Edited By Steve Pavey on 02/08/2015 17:20:54