Hallie, you are indeed researching the same Parker family as Phil Stead in England.... I am also.
William, Thomas Smith, George, Richard, Morris, James and John Parker were all born in Lincolnshire, England and were sons of Thomas and Eliza (Smith) Parker. They have descendants. "Aunt Ellen" must have been a sister of Eliza (Smith) Parker. I'm sure they would also appreciate any information about their Smith ancestors (& cousins) from Lincolnshire, England. I think some of the Smiths also immigrated to Wyandot Co., Ohio. I am researching my Richmond ancestors (of Mary A. Richmond married to James Beet Parker in Wyandot Co., OH) and have come across a Richmond/Smith marriage.
Thomas Parker died in England and his widow, Eliza, also came to Wyandot County, Ohio (USA) and married the (also widowed) brother of Thomas, Rev. George Parker. Henry Parker was a son of Rev. George Parker, and a brother to my gr great grandfather, James Beet Parker. Henry and James B. Parker were 1st cousins to William, Thomas Smith, George, Richard, Morris, James and John Parker.