That was the wrong James and Elizabeth...that is why it helps to post as much info as possible.
There is a listing for a marriage in the BMD records for Oct/Nov/Dec of 1885 for Peter Hoole to Mary Elizabeth Wharmby.
There is a record for the death of James Wharmby in 1893, but not accessible on line. However, there is a death record for Elizabeth Dean on 2 July 1905, buried Oak Grove Cemetery. She was listed at age 61y, 6m. Wife of James, reported by son Isaac Wharmby.
Elizabeth Dean's parents were James and Elizabeth Dean. Had an older brother named James (Hard to read) and another brother Isaac, 3 years younger then she. This is from the 1851 census of Stockport. By 1861, James is dead (he was 47 in the 1851 census) and Elizabeth and Isaac are still with mom, Betty.
Isaac Wharmby came over before the rest of the family. He had a number of children, a couple that were born in Fall River. His wife was Emma Preston. No doubt you may be able to find these children.
In addition, Alice Wharmby married a William Crawford on 18 June, 1906, though they appear to have only one child, Grace C. born 26 May 1907. She died before 1910 and there don't appear to be any more children.
Joseph Wharmby arrived in the US in 1904 or so. His wife, Helen Heywood, died on 14 May 1906. She was the daughter of Thomas Heywood and his wife, Elizabeth Nuttall. They had three children, Elsie, Edith, and Alice, all born in England and with them in the 1901 English Census of Stockport, and then in 1910 in Fall River. By 1920, Joseph has remarried a women named Alice. He is living in Norwich, New London, Conn with wife Alice, daughter Edith Scofield, who is a widow, daughter Alice, and grandson, Arthur Scofield, who was born in Conn.
Hope this helps.
Good Luck in finding living relatives!