The nearest Main-line rail station is Ruabon. It has trains to London via Crewe or Birmingham New Street that take 3.5 hours.
London is 3.5 hours drive although if you’ve got something really rather fast and are prepared to put your foot down then you might do it in 2.5 hours!
Manchester is only a 1 hour drive, Liverpool 45 minutes and Edinburgh 4.5 hours