George E. Simmons, and George M. Simmons are two different people, which you've definitely figured out by now. George M. (for Michael) was married to Dora. They had two children in the US (Charles W., and Annie Kate), and then returned to England where they had additional children. Two sons migrated to North America, Arthur to Canada, and Charles William (the oldest) to Minnesota.
George M. was a farmer in Chigwell, but also a musician, and sang in local church choirs; he may have had a stint at the Victoria and Albert on an amateur basis. Son Charles W. was a well-known theater organist for silent movies throughout the early part of the 20th century.
I, too am very curious to know the circumstances of their travel to the US and return. It might have been to avoid the Civil War, and / or to take over the family farm in Chigwell. There is a "Simmons Lane" that is related. Just conjectures. Does anyone know what the middle initial "E" stands for in the other "George Simmons." I have an uncle George (son of Charles W.) whose middle initial was also "E." So, there may be a relationship.