From familysearch.org https://familysearch.org/search/records/index#count=20&query=%2Bgivenname%3A%22lester%20m%22~%20%2Bsurname%3Abrackley~%20%2Bbirth_place%3AUS~%20%2Bbirth_year%3A1890-1896~
1920 Census shows:Wife Helen, M; Lester M son b. abt 1920 Boston
1930 Hingham MA Census shows Wife: Katherine; son Lexter; Miriam dau b abt 1922; Paul son b abt 1925
United States Census, 1920
Name: Lester M Brackley
Residence: Dorchester Precinct Boston City 17, Suffolk, Massachusetts
Estimated Birth Year: 1893
Household Gender/Age/Birthplace
SELF Lester M Brackley M/27y ME
WIFE Helen M Brackley F/25y MA
SON Lester M Brackley M/2m MA
United States Census, 1930
Event Place: Hingham, Plymouth, Massachusetts
Household Gender/Age
Head Lester M Brackley M/37/ME
Wife Katherine Brackley F/34/MA
Son Lester M Brackley M/10/MA
Daughter Miriam Brackley F/8/MA
Son Paul D Brackley M/5/MA