On Live At The Unicorn, his officious debut sold at concerts. Tom made it an official release when recutting a version for his third album Tom Rush in '65 (Elektra). Tom Rush admits he didn't write Poor Man, but claims Dylan knew his song when he wrote Ballad Of Hollis Brown. The Poor Man tune comes from British ballad Pretty Polly. In a call & response form it became Po' Lazarus. (see there)
Bob Dylan [melody in The Ballad Of Hollis Brown; that Hollis murdered his whole family, lyrical inspiration from The Murder Of The Lawson Family (see there)]
Pretty Things [all as Ballad Of Hollis Brown]
On Dylan's The Times They Are A-Changin' album there's another song the Neville Brothers covered: With God On Our Side.