William Agar Hoyle and his wife Olivia Hoyle lived in Bolton, and had a son William Agar Hoyle, who was baptised in Bolton on 11th Feb 1855. William had an older brother John Agar Hoyle from Bury born in 1853, with mother Olive and no father listed.
William Senior is listed as a Watchmaker, and the home is confirmed as living in Bolton, and it is possible that William Agar Hoyle, is the same person as William Agar.
In 1860 six year old William Agar Hoyle was living with William Agar, in the home of Mary Agar at 17 Bolton Street in Bury.
In Bury on 26th Feb 1857 William Agar married Olive Hoyle in Bolton.
In 1898 on Jan 15th, Olive Agar died and left her estate to a John Agar, presumably the son listed above.