"Here Comes Santa Claus (Down Santa Claus Lane)" is a Christmas song originally written and performed by Gene Autry, with music composed by Oakley Haldeman. Autry's original version was a top-10 hit on the pop and country charts; the song would go on to be covered many times in the subsequent decades.

Can we draw the following conclusion?
Haldeman wrote the lyrics for Here Comes Santa Claus.
No