In the Suffolk county, MA 1880 census, Edward has several lodgers living with him. one is the widower Richard Lee, aged 50 and suffering from rheumatism. Richard was born in Ireland, as were both his parents. Could this be Edward's father?
 
additional sources
death certificates, EHL & CH
Boston, MA 1880 census
New York 1900 census
Staten Island Moravian Cemetery records
Barbara Fielis Elliott personal knowledge