I have some information on John Bell, brother to your William Bell.
John Bell b. 03 Oct 1804 in Cley-Next-The-Sea, Norfolk, England, married Mary Fish, They had seven children, Harriet, John, Maria, William, Henry, Sarah and Alfred.
Their son John Bell b. 05 Feb 1830 married Amy Playford, they had eight children, Walter, Harriet, Henry, John, Frederic, Charles, Mary and Ellen (Jewell).
Walter, son of John and Amy, married Emily Unknown, they had four children, Walter, Charles, Frederick and Arthur.
Walter, Frederick and Arthur immigrated to Massachusetts.
Walter b. 1877 married Ada M. Edwards in England
Frederick b. 1885 married Alice Campling in England
Arthur Bell, b. 1892, married Lottie M. Allinson in Massachusetts
I'm not related to this family, only helping a distant cousin of yours.