I appear to have broken the previous record for number of offspring in my family tree, which stood at 14(!)
My gt-gt-gt-grandfather, William FAGG (b. ~1801, Eastry, Kent) appears to have sired 15 (including a pair of twin daughters) !!
My granny FAGG was one of 10 children herself, but fertile families appear on both sides of my family, it would appear.