Glad you made the Swanage connection at last. Yes! Thanks to the painstaking research of John Haysom (at this forum):
"John Haysom born 1734, Swanage, Dorset, baptised: 1 Feb 1734, Swanage Parish Church, occupation: Marbler, married (1) 8 Oct 1761, in Swanage Parish Church, Grace Brockley, born 1737, died 1769, Swanage, Dorset, buried: 11 Feb 1769, Swanage, Dorset, married (2) 9 Apr 1771, in Swanage Parish Church, Jane Phippard (widow), born c 1734, Swanage, Dorset."
You should contact John. He has information well-documented back to a Robert HAYSOM born about 1646.
My connection is from John HAYSOM and Grace BROCKLEY's son John Haysom born 1765. Then from this John's eldest - a George Haysom born 1789.