points to check
Is the hand wheel turning lightly, everything moves with out resistance? Cleaning and oiling makes all the difference. Slide the bobbin cover off, lift up a lever and towards you, with a bit of wiggle on the hand wheel the bobbin case comes out. Unscrew the throat plate and face plate. Clean carefully, inspect for threads, and lint.
Detect all oil points, there are lots of them; every where were metal moves against metal needs oil; joints, levers, hinges, cam and roller parts controlling the feed dogs under the bed; ends of rods. The same for the parts behind the face plate, needle bar and presser bar included. Oil, run the machine, oil, run the machine, repeat...
Check the motor belt and motor pulley, does it turn freely with out belt, is the belt in good condition.
Check the pedal for capacitor, they tend to go bad with age and almost always needs to be removed. Capacitors can be replaced if you like to.
Check the machine for voltage, if the motor or pedal says 110V you are fine, if it says 220V it will likely run half speed if at all. It's worth checking since you have a UK made machine.