There are two Lane/Gambier couples of PA and the Bamas worth consideration
Eleanor Gambier and her husband Lord Samuel Gambier
and
Lord Samuel Gambier and her husband Lord Samuel Gambier
This cannot be a coincidence...
The Lane family did extensive trading in the Islands before settling on the Perkiomen in PA Province.
Descendant Register, Generation No. 1
Richard Lane (Roger /Lane/) was born 27 AUG 1596 in Hereford, England, and died 7 AUG 1657 in Eleuthera Island, Bahama, West Indies. He married Alice Carter on 7 OCT 1623 in St. Mildred Poultry, London, England, daughter of /Anne/ and Humfry /Carter/. She was born 24 AUG 1603 in London, England, and died 4 SEP 1678 in All Hallows, Bread Street, London, England. She was buried 4 SEP 1678 in All Hallows, Bread Street, Leverton Island, Bahama.
Children of Richard /Lane/ and Alice /Carter/ are:
Samuel Lane was born 1628 in London, England, and died 1682.
Joseph Lane was born 1631 in London, England.
Oziell Lane was born 1632 in London, England, and died 1657 in Eleuthera Island, Bahama.
Mary Lane was born 1642 in New Providence Island, Bahamas, West Indies, and died JUL 1674 in London, England.