Green’s Dictionary of Slang

1. to perform .

1938

Pittsburgh Courier (PA) 27 Aug. 11/1: The real sender came when he booted ‘After You’re Gone,’ that sent the jitterbugs.

2. to give, to hand over.

1944

Cab Calloway New Hepsters Dict. in Calloway (1976) 253: boot (v.): to give. Ex., ‘Boot me that glove’.