Terry,

'Jack went a-sailing' is almost certainly the same song: 'Jack went a-sailing' is just one of the 61 titles listed for this song in the Roud index, viz:

Bold Munro, The
Brisk Young Plow Boy, The
British Lady, The
Cuban Soldier, The
East Wind Blowing From The Southward, The
Ho Lilly Ho
Jack Frazier
Jack He Went A-Sailing
Jack Monroe
Jack Mulroe
Jack Munro
Jack Munroe
Jack The Sailor
Jack Went A-Sailing
Jackaro
Jackaroe
Jackaroo
Jackero
Jackie
Jackie Fraisure
Jackie Frazer
Jackie Frazier
Jackie Was A Sailor
Jackie Went A-Sailing
Jacky Frazer
Jacky Freasher
Jacky Robinson
Jacky The Sailor Boy
Johnny Fraizer
Johnny's Gone A-Sailing
Lilly Hugh
Lilly Munroe
Lily Lily Oh
Lily Monroe
Lily Munro
Lily Munroe
Merchant Of London, A
Merchant's Daughter, The
Old Rich Merchant, The
Old Rich Merchman, The
Outlaw's Lover, The
Pensacola
Poor Jack Is Gone A-Sailing
Poor Jack's Gone A-Sailing
Poor Jack's Gone To War
Poor Jackson
Poor Jackson's Gone A-Sailing
Pretty Polly
Rich Merchant, The
Rich Old Merchant, The
Sailor Jack
Sing Lay The Lily Low
Sing Low Laurie O
There Was A Rich Merchant
There Was A Wealthy Merchant
War Song
Wars Of Germany, The
Wars Of The Santa Fe, The
Wealthy Merchant, The
Willie's Gone A-Sailing
Young Jack The Farmer