According to a Google Books search, "All for My Grog and Tobacco" turns up in English peasant songs with their traditional airs (1929), where it is either labelled a "sea chantey" or comprises the chapter heading for such. That would be earlier than either Lloyd or Creighton.

It was also published in English dance and song, Volumes 28-29‎ (1966; EFDSS), p. 135 where there may be more historical information.

Roy Palmer's A checklist of manuscript songs and tunes collected from oral tradition... has a citation to a version collected from T.C. Smith "as sung in Scar-" (remainder of citation not viewable).

It may also occur in collections under the title "Across the Western Ocean" (not to be confused with the chantey more widely known by this title, containing the repeating line "Amelia, where are you bound?" or similar).