According to the 1841 England census, William was living in the hamlet of Stags Head, in the parish of South Molton, Devon, with his family. His father, John, age 40, is listed as a "taylor". Also in the household are his mother, Elzabeth, age 40, sister, Elizabeth, age 12, and younger sister, Louisa, age 1. William's age is shown as 4, with a birth year of 1837 - which seems to be the birth year most commonly used for him in later documents, despite the 1836 baptism entry from the Filleigh Index on GENUKI.
To get an idea of where the Balls were living click here to see a 1950's map of the area from oldemaps.co.uk. Stag's Head is located between Filleigh and South Molton. The Stags Head Inn still exists and is operated as a pub/restaurant/B&B. This inn is definitely on my must-see list!