There is no Henry Davi(e)s in the baptisms at Hagbourne in that period I am afraid - the closest (an only one 1800-1840) is 1825 June 5th William Davis to William & Rebecca - travellers
Debbie
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Pay(n)ton, Payton, Pe(a)rton all Oxfordshire and Berkshire - particularly Abingdon
I suspected that may be the case - he claimed Hagbourne once on the census, but not for the other times. I presume he lived there for a while when he was a child.
The reference William and Rebecca I will squirrel away for future reference .