The last and first name Lawrence is taken from Latin and means "The Laurel-Crowned One".
But wait! -There's more... 'Lawrence' does indeed derive from the Latin surname Laurentius: but it literally means man from Laurentum, which is a town in Italy renowned for its laurels, or 'bay laurel trees'. The name gained great popularity in medieval Europe primarily due to the exploits of a Christian, martyred by the Romans, in the 3rd century.
Prior to the Norman Conquest, the surname Lawrence can be found to have been holding a family seat in Lancashire.