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.
with its source form and related names. Burns is the only prominent alternative form of Borne (OUTSIDE TOP 2000). Other variants, like Byrn, are seldom used. This relation of Borne reached the top of its popularity in the 1910s (#1830).