It has been quite while but I hope this helps.
Thomas Child and Elizabeth Napper were my 3x great grandparents.
Thomas was described as a farmer of Woking on his marriage to Elizabeth Napper in 1822 in Cranley.
Their first son Thomas Ephraim Child supplies the link to his father's life in Lambeth and his earlier life in Woking.
Thomas Ephraim was baptised in Woking in 1822 to Thomas and Elizabeth, father's occupation Farmer.
William was baptised in 1826 father Thomas, farmer of Sutton, Woking. William died an infant.
Mary Jane was baptised in 1826 father's occupation Gamekeeper
Julia Ann baptised 1828 in Woking father's occupation Gamekeeper
Emma was baptised in Brixton, Surrey, father's occupation Baker
Sarah Maria, my ancestor, baptised in All Saints Kennington, father's occupation Stablekeeper
John 1839 Clapham
Leah 1843 Vauxhall
Thomas became a Cab Proprietor in Kennington, where he died in 1870. His son Thomas Ephraim married Sarah Clark in Bermondsey in 1844 and the father's information on the marriage certificate confirms the family came from Woking.
Thomas Childs stated he came from Bramley in the 1861 census which is adjacent to Cranley where he married. There was a family of farmers named Childs in Bramley back to at least the 1600s. I haven't been able to find out any more, have no details and have found no mention of Thomas there, but then he could still have been one of the many Thomas Childs baptised in Cranley/Cranleigh and that area. I suspect, from researching that Thomas was baptised in Ewhurst in 1797 to William and Mary, I am sure that the three Thomas Child baptisms there at that time were to 3 brothers, Solomon, James and William. The son of Solomon and Mary married a Sarah, the son of James and Margaret seems to have become a schoolmaster, that leaves the son of William and Mary.
Elizabeth gave her place of birth as Dunsfold, perhaps that's the first pace she remembered living at, adjacent to Cranley, she may well have been living in Cranley by the time they married. Her daughter Leah Osborn gave her mother Elizabeth's place of birth as Guildford in the 1871 census for Battersea, where they both appear, just before Elizabeth died. The name Leah links to the Ewhurst families.
I hope this helps but would like to know if any progress has been made because I have found nothing definite for the earlier generations either.