Two points:

i. Many interesting children's parody versions of Disney ballad from time the movie first appeared can be found in Peter & Iona Opie's definitive work for Oxford UP, 'The Lore and Language of Schoolchildren' [1959].

ii. And, as matter of interest, the 'Yankee clipper ship' on which the narrator ships in The Leaving Of Liverpool — "Davy Crockett was her name".