There are plenty of places to park near the centre of Market Drayton including the following:

Towers Lawn (£1.80 all day)

Queens Street Parking (short stay to Cheshire Street)

Frogmore Road (small short stay car park at the back of Cheshire Street near Festival Drayton, only 3 hour stay)

Also near the Swimming Pool, Newtown, Market Drayton TF9 1JT (long stay)