drum (n.) Look up drum at Dictionary.com
1540s, probably from Middle Dutch tromme "drum," common Germanic (compare German Trommel, Danish tromme, Swedish trumma), probably of imitative origin. Not common before 1570s. Slightly older, and more common at first, was drumslade, apparently from Dutch or Low German trommelslag. Machinery sense attested from 1740, from similarity of shape.
drum (v.) Look up drum at Dictionary.com
1570s, from drum (n.). To drum (up) business, etc., is American English 1839, from the old way of drawing a crowd.