I am Linda ADBY and Abraham was my great grand uncle. My great grandfather was Abraham's brother George. I have 10 children listed -the ones you mention, plus a John Heaver ADBY born in 1831 in Ashampstead. Their parents being Richard ADBY and Elizabeth HEAVER.
My difficulty lies in finding information further back. I found Richard's father James and his wife Rachel HIZZEY. I can't find a birth date for James, although there is information that says he was born in India. I can't find any futher back than that. I live quite near Wargrave so if you need any information from that area I can go and have a look. I am also realizing that somewhere along the line the surname has been transposed, whether from ADBY to ABDY or ABDEY - not sure which yet. Have you have any luck with this research?