The one nearest the camera looks like a pink. They once were fairly common in New England. But it's not a ship. A ship has three masts, all of them square-rigged.
this particular sailing vessel is kinda pretty. BTW, this one is gaff-rigged, a type of fore-and-aft rig already popular by the War of 1812 and often used by privateers with government commission to commit piracy against British shipping. Armed with cannon, of course, and often over 100 feet long, such as the famous Prince de Neuchatel. The vessel in the back is a simple schooner with a staysail between masts.