Luzern(e) Barnum appears as a 28-year-old married man in the 1880 US Census for Shandaken, Ulster County, New York. His surname also appears as Barnham.
In the 1910 US Census for Denning Town, Ulster, New York the family of Luzerne BARNUM was enumerated as follows:
Dwelling #75; Family #75
Barnum, Luzerne; Head; M; W; 59; 1st marriage, married 35 years; b. New York; father b. New York; mother b. New York; speaks English; Farm laborer; Home farm; works on own account; can read; cannot write; owns farm home free of mortgage; Farm Schedule 76
Barnum, Josephine; Wife; F; W; 53; 1st marriage; married 35 years; mother of 6 children; 3 living; b. New York; father b. New York; mother b. New York; speaks English; No trade or profession; can read; cannot write
Barnum, George; Son; M; W; 30; S; b. New York; New York; New York; speaks English; Mail carrier; US Mails; Wage earner; employed full year; can read and write