1510s (transitive), with an isolated instance from 14c.; from swirl (n.). Intransitive sense "form in eddies, whirl in eddies" is from 1755. Related: Swirled; swirling.
swirl (n.)
early 15c., "whirlpool, eddy," originally Scottish, of uncertain origin, perhaps related to dialectal Norwegian svirla or Dutch zwirrelen "to whirl." The meaning "whirling movement" is from 1818.