In the Federal Census of 1900 the family is at Central Falls, RI: Eason L. 40 RI, Edna A. 29 RI, Mazelle R. 8 RI, Kenneth M. 6 RI, and Carolyn M. 1 RI. According to the census data, they have been married 9 years; Edna has had 4 children, of whom 3 are living. Eason's occupation is difficult to read, but it appears to be Head Salesman.
Apparently Eason was an electrical or chemical engineer who filed for several patents (google).