In the 1900 US Census for District 33, Cimarron, Colfax County, New Mexico an Albert Barnum was enumerated as follows:
Barnum, Albert; Head; W; M; b. Dec 1867; 32; Single; b. New Mexico Territory; Father b. New York; Mother b. New Mexico; Quartz miner; Out of work 10 weeks during the year; Rents non-farm home.
In the 1910 US Census for District 32, Fort Steele, Carbon County, Wyoming an Albert Barnum (apparently the same person as above) was enumerated as follows:
Dwelling #69; Family #77
Kennady, Margurite; F; B; 28; Single; b. Missouri; Father b. Kentucky; Mother b. Wisconsin; Speaks English; Wash woman; Laundry; Wage earner; Not at work previous workday; Employed full year; Can read and write; Rents non-farm home
Barnum, Albert; Lodger; M; W; 42; Single; b. New Mexico; Father b. New York; Mother b. New Mexico, speaks English; Laborer; Railroad; Wage earner; Out of work on census day and during the previous 12 weeks; Can read and write
[Note: In spite of the error in his father's birthplace (not at all uncommon in older census data), there is no other Albert Barnum born in New Mexico who is listed in either the 1900 or 1910 census year and this must be considered a strong possibility. Still, it is not known with certainty that this is the correct Albert Barnum].
In the 1920 US Census for District 32, Ocate, Mora County, New Mexico the family of an Albert Barnum was enumerated as follows:
Dwelling #45; Family #53
Barnum, Albert; Head; Rents non-farm home; M; W; 49; Married; Can read and write; b. New Mexico; Both parents b. New Mexico; Speaks English; Miner; Coal mine; Wage earner
Barnum, Camelita P. [sic]; Wife; F; W; 36; Married; Can read and write; b. New Mexico; Both parents b. New Mexico; Does not speak English; No occupation
Barnum, Celina; Daughter; F; W; 15; Single; Attended school within the year; Can read and write; b. New Mexico; Both parents b. New Mexico; Speaks English; No occupation
Barnum, Isabelita; Daughter; F; W; 12; Single; Attended school within the year; Can read and write; b. New Mexico; Both parents b. New Mexico; Does not speak English; No occupation
Barnum, Flora; Daughter; F; W; 8; Single; Attended school within the year; Can read and write; b. New Mexico; Both parents b. New Mexico; Speaks English; No occupation
Barnum, Adelaida; Daughter; F; W; 4-6/12; Single; b. New Mexico; Both parents b. New Mexico; No occupation
Barnum, Leonor; Daughter; F; W; 2-2/12; Single; b. New Mexico; Both parents b. New Mexico; No occupation
[Note: There are also several unanswered questions about this Albert Barnum. If this is Albert, son of Albert, why is his birth year given as 1871 instead of 1868? Where were his wife and oldest two daughters in the 1910 census, when he was enmuerated as single? We are left with the impression that we may be dealing with at least two different persons with the same name].