This doesn't answer your question, but his birth range seems to vary. The death record is in the same location (Preble) as the 1880 census but for some reason today, I'm not able to open the images on familysearch to see if it has anymore info.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8SF-BS7
: 16 July 2017), James Alexander, Jefferson, Preble, Ohio, United States; citing enumeration district ED 199, sheet 113B, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 1060; FHL microfilm 1,255,060.
1880 US Census Jefferson, Preble, Ohio, United States
James Alexander Self M 48 Kentucky
Evaline S Alexander Wife F 38 Ohio
Nancy J Alexander Dau F 21 Kentucky
Mary M Alexander Dau F 18 Kentucky
Ella L Alexander Dau F 15 Kentucky
Margaret F Alexander Dau F 13 Kentucky
Jenora Alexander Dau F 8 Ohio
Albert H Alexander Son M 5 Ohio
Minnie M Alexander Dau F 3 Ohio
Visa A Alexander Dau F 1 Ohio
"Ohio, County Death Records, 1840-2001," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:F6NY-ZWG
: 13 December 2014), James Alexander, 04 Jul 1899; citing Death, New Paris, Jefferson Township, Preble, Ohio, United States, source ID , County courthouses, Ohio; FHL microfilm 564,962.
Ohio, County Death Records
Name James Alexander
Death 04 Jul 1899 New Paris, Jefferson Township, Preble, Ohio, United States
Residence Place New Paris, O.
White Male Age 69 Married
Birth (Est) 1830 Birthplace Kentucky