This one will be hard to follow and required a LOT more confirmation.
From familysearch.org. It appears from census data, that Edith Hatch was the dau of Charles Hatch and Mary J Parsons and that Mary J Parsons was the dau of Philip and Hannah Parsons.
I also appears the William Goodwin, b abt 1904/5 might be the son of Walter B Goodwin, son of William and Octavie Goodwin and Edith Hatch ( Adams). It appears that Edith Hatch eventually married a Charles Adams?
U S Census, 1930 West Hartford, Hartford, CT
head Mary J Hatch F 80 CT
daughter Edith Adams F 47 CT
grandson William H Goodwin M 24 CT
U S Census, 1920 Nickoles Rich, , Hartford, CT
self Nickoles Rich M 21y CT
wife Anna Rich F 18y NJ
self Charles Adams M 40y RI abt 1880
wife Edith Adams F 35y CT abt 1885
son William Goodwin M 15y CT
U S Census, 1910 Torrington, Litchfield, CT
self William Goodwin M 66y CT abt 1844
Wife Octavie Goodwin F 64y CT
William Goodwin M 5y CT
U S Census, 1910 Torrington, Litchfield, CT
Walter Goodwin M 31y CT Divorced
US Census, 1900 ED 258 Torrington borough, Litchfield, CT
head William Goodwin M 58 CT
wife Octavia J Goodwin F 54 CT
son Walter B Goodwin M 22 CT
U S Census, 1900 ED 224 West Hartford township, Hartford, CT
head Charles Hatch M 53 CT
wife Mary J Hatch F 50 CT
son Gilbert E Hatch M 23 CT
dau Edith M Hatch F 19 CT
U S Census, 1880 West Hartford, Hartford, CT
Charles E. Hatch M 31 CT
wife Mary J. Hatch F 30 CT
son Gilbert E. Hatch M 2 CT
moth Hannah W. Parsons F 62 CT
Connecticut, Births
Gilbert Edward Hatch
birth 13 Jan 1877 West Hartford, Hartford, CT
father Chas E. Hatch
mother Mary Parsons
U S Census, 1870 West Hartford, Hartford, CT
Philip G Parsons M 56y CT
Hannah W Parsons F 50y CT
Mary J Parsons F 20y CT
Shubael W Parsons M 14y CT
Rhoda Daniels F 81y CT
U S Census, 1850 Hartford, CT
Phillip G Parsons M 36 CT
Hannah Parsons F 31 CT
Phillip A Parsons M 10 CT
Lucy E Parsons F 6 CT
Mary J Parsons F 0 CT