This kind of piece is really a theme and variations. Another common type of piece is the Prelude and Fugue, two movements. The first is free-form, often melodic like a short sonata, or constructed of chords; the second is made like a round, like Row, Row, Row Your Boat except WAY more complicated.
Borne [borne] as a boys' name has its root in Middle English, and Borne means stream. Borne is an alternate form of Bourne (Middle English): place name.
Carry, convey, transport, transmit imply taking or sending something from one place to another. Carry means to take by means of the hands, a vehicle, etc.: to carry a book; The boat carried a heavy load. Convey means to take by means of a nonhuman carrier: The wheat was conveyed to market by train.