возможно есть связь кареты с cart
http://www.etymonline.com/index.php?allowed_in_frame=0&search=cart&searchmode=none cart
c.1200, from O.N. kartr, akin to and replacing O.E. cræt "cart, wagon, chariot," perhaps originally "body of a cart made of wickerwork, hamper;" related to M.Du. cratte "woven mat, hamper," Du. krat "basket," O.E. cradol (see cradle). The verb meaning "to carry in a cart" is from late 14c. Related: Carted; carting.