Green’s Dictionary of Slang

wax v.3

[wax n.2 (2)]

(orig. US) to make a record; thus waxing, a recording.

[US]H. Brook Webb ‘The Sl. of Jazz’ in AS XII:3 183: wax, v. To record, to play music that is being recorded.
[US]Pittsburgh Courier (PA) 8 Feb. 7/1: Among the best sellers [...] not because of her waxing of ‘Cabin in the Sky’ [...] but her take-off on —‘The Five o’Clock Whistle’.
[UK]C. MacInnes Absolute Beginners 10: The EPs these elderly sordids bribe the teenage nightingales to wax.
M. Williams Jazz Masters 267: The record very nearly wasn’t issued. Allen and the band played it in the studio and it was waxed.
[US]Rebennack & Rummel Under A Hoodoo Moon 182: I came up with an idea to write an album of songs with Earl King for the Stones to wax.
[US]R. Gordon Can’t Be Satisfied 313: Rice Miller never waxed a record until John Lee Williamson was six feet under God's brown earth.
E. Wald Dozens 57: Sam Price and his Texas Bluesicians waxed a romping combo arrangement in 1940.