What was the nickname for parliaments army in the civil war?

During the English Civil War (1642-1651), the supporters of Parliament were generally known as 'Roundheads,' as distinct from the names, 'Cavalier' and 'Royalist,' which were often applied to supporters of the King's side of the war. 'Roundheads' derived from the very short hair of these persons, as the usual style of the age (and of the King's supporters) was to have long, flowing hair.