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.
All other uses of the verb are for bear: bearing children, the right to bear arms, bearing up under the stress/weight, can't bear the thought, bear south, it bears repeating. There is occasional confusion between bear and bare in adjectival uses (as in he rubbed his bear arms), but bear is properly a noun and only used like an adjective in the financial phrase bear market.