The difference between songe and rêve is that songe sounds old fashioned and that it's now used only in poetry.
The version sung in French is the one Guest Steve Daws posted on May 3rd. The other translations are more or less literal translations that can't be sung. Besides, in English you "row a boat", in French "to row" is "ramer" but the verb is intransitive and you can't "ramer un bateau"; "rangée" = a row, a line