I'm going to write, starting with the most recent. Woodbutler, your grandfather, Harry, was the third son of Lancelot and Mary Wood. There were eight children - Lance (born 1909), Eddie, Harry, Albert, Mary, Evelyn, Nora and Florence (born 1930). They lived in Bedlington at the bottom of the Furnace Bank.
Lancelot (Harry's father) was one nine children of Joseph Wood (married to Fanny). These nine children were Wiliam Henry, John, Isabella (later Isabella Miller), Lancelot, Annie (later Annie Atkinson), Ellen (later Ellen Petrie), Charles, Hannah and Joseph.
Joseph (Harry's grandfather) was born on 30th June 1838 in Sheffield North to William and Margaret (formerly Younge). William's occupation was as a mason.
Joseph (Harry's grandfather) died in Bedlington on 11th February 1914. His occupation was mineral water manufacturer and he had a number of businesses including one in Bedlington (which was then run by his son Lancelot who passed it to his own son Lancelot i.e. Lance, Harry's brother). Another of Joseph's businesses was in Durham and was run by his son William Henry. I think this business is the one that later became Wood & Watson.
I hope that helps to fill in some gaps/clear up some confusion. Unfortunately, having several generations with the same name and a not uncommon surname doesn't make it easy.