My great grandmother who was born in Halstead, Dorset in 1853 was christened Annie OLD Wills. OLD has to be a family name from a previous generation but I have never discovered any link. If one inserts on a map of Dorset any parish that christened an OLD ( as seen on Latter Day Saints CDs Edn.2 )
the oldest [ 1650 - 1750 ] are found inside a polygon bounded by Yetminster, Sydling St. Nicholas, Dorchester, Dewlish, Hermitage, Yetminster. It hasn't helped me but I still feel that the answer is somewhere within that area. Perhaps it might help you.