I checked the posse comitatis for Ashley Green. There is one Puddephatt, John. He had 4 horses, 1 wagon and 1 cart. I would think that means he was almost certainly a farmer. There was William Puddifoot at Ashridge ( another village in the parish of Great Chesham) 2 horses and 2 carts. Joseph Puddephat in Bellingdon, 1horse, 1 cart. Bellingdon is quite close to Ashridge. The spelling difference for the name is probably a matter of a different enumerator.