I would be getting Frank Harding ADAMS birth cert to get some solid details. It should have his father and mother's names on it whereas his death cert may not. It should also have their marriage details.
Here's what I found which is basically what you had. I did manage to find another child though. There may have been some sort of illness going around in 1926?????
Frank Harding ADAMS Birth:20 JUN 1875Of Dedham, Massachusetts Death:19 JAN 1926
Wife ETHEL WEAVER Birth:05 AUG 1873Marietta, Washington, Ohio Marriage:20 OCT 1897Dedham, Massachusetts
Parents: Father:OREN WILEY WEAVER Mother:ELLEN AUGUSTA STACKPOLE