I don't know if they are exactly the same, as the Johnson Girls site did not display lyrics, but here they are by the Menhaden Chantey Singers:
WON'T YOU HELP ME TO RAISE 'EM
L:* Won't you help me to raise 'em boys
C: Hey, hey, honey
L:Won't you help me to raise 'em boys
C: Hey, hey honey
L:Won't you help me to raise 'em boys
C: See you when the sun goes down
L: Oh the weight's on the captain's boat
C: Hey, hey, honey
L: Oh the weight's on the captain's boat
C: Hey, hey, honey
L: Oh the weight's on the captain's boat
C: See you when the sun goes down
*L : sung by the leader
C: sung by the crew
Some very interesting info on this page, and a Johnson Girls squib about the song on this page.