The verse you quoted is from John Short's version of the song. According to him, on most American ships they would sing "Shanadore" - and I don't see any rudeness to that line. It's quite charming with no rude words at all.
I find John Short's songs very interesting as he was singing decades before Stan Hugill so his songs represent earlier versions of shanties. Short's version of Shanadore is half the standard Shenandoah verses and half Sally Brown verses. Short's version also uses "wild Missouri" instead of "Western Ocean."
SHANADORE From Short Sharp Shanties, Sea Songs of a Watchet Sailor, Volume 2
Solo: Oh, Shanadore, I long to hear you Chorus: Hooray, you rolling river Solo: Shanadore, I can't get near you Chorus: Aha, I'm bound away on the wild Missouri
Shanadore, I love your daughter I love the place she makes her water
I'm bound away, I cannot stay I'm bound away for Mobile Bay
I'm bound away for Bristol City Where the girls they are so pretty
Seven long years I courted Sally Seven long years I could not gain her
She said I was a tarry sailor Oh Sally Brown, I'll never grieve ya
I gave her gold, I gave her silver When she rolls down her topsails quiver
Farewell, my dear, I"m bound to leave you I'm bound away but I'll ne'er deceive you