Fixed!
Put the wires back in the correct place, put the motor housing back together, put it outside, turned it on then went inside and plugged it in...
And it runs perfectly! Having 240v shoved the wrong way across it hasn't seemed to phase it.
All put together now again, and hopefully for the last time, although can't test it out on the carpet as daughter is asleep, so that's tomorrow's job!
Happy now, and just in time too, will hopefully pick my next project up tomorrow...