What Are Some Last Names Used In Colonial America?

The colonists had surnames prior to migrating to the new world, so the statement above is nonsense.

Alden, Allerton, Adams, Billington, Bradford, Brewster, Bitteridge, Carter, Butten, Bosworth, Boswell, Carpenter, Rice, Delano, Carver, Bacon, Cooke, Doty, Fuller

Those are several of the surnames of the passengers of the first 4 ships to New England, and just up to the letter 'F'

In France in 575 AD if you were a barrel maker your name might be Cooper but in colonial america you took your father's surname.

Smith, Jones, Allan, Johnson. Just to name a few.

Smith, baker, cooper. Last names were usually your job. For example if you made barrels your last name would be cooper.