I'm not sure if there is a connection. My g-g grandfather, Charles Eagen, was born about 1848 and died October 1928 in Detroit. I think he was born in Canada and came to Michigan as a young child. I do not have any information on his parents or siblings. He may have been a fisherman as a young man but later in life he was a "engineer on the lakes".
My research indicates that the family lived in the Cheboygan area. Some of the place names I have found in newspaper articles, etc. are Alpena, Bad Axe, & Forestville Michigan.
I have a newspaper clipping from the Feb 16, 1912 issue of the Cheboygan Democrat the death of a James Eagen at the age of 67 years. He left a widow and 4 children. The children were Harriet, Lavina, James and Gertrude. I don't know if there is a connection with my Charles Eagan or with yours.