Hi--Lets see if we connect. The furthest back I can go is Samuel Tibbey who had two sons: Charles James Tibbey born July 15,1807 in Newington,Surrey,England died March 1873 Sydney, Australia and William Henry Tibbey born about 1802 in England died November 1852 in Mendocino, California.
Charles and family went assisted passege to Sydney on the "Orontes" in 1838. He married Ann Maria Dodds or Dodge Sep 14, 1823, St. Mary's,Newlington, Surrey, England. I think they had three children before they emigrated and the rest in Australia. Does this match with any of your London Tibbey's?
Charles was a boot and shoemaker in Sydney. William Henry was in the shipping business. Glad to hear from you. My email is: firstname.lastname@example.org