You probably can IF you are willing to read through lots of records. Many wills and probate records are available on FamilySearch.org (free with registration). They are not index beyond the county, you you have to scan through them.
DOD: 19 May 1911
Army invalid served as a private in Co. G, 130h ONGI (Ohio? National Guard Infantry)
"United States Veterans Administration Pension Payment Cards, 1907-1933," database with images, FamilySearch (
https://familysearch.org/ark:/61903/1:1:QJDQ-9H6Y : 11 March 2018), James R Lathrop, 1907-1933; citing NARA microfilm publication M850 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,635,353.
DOB: June 1825 per 1900 census you have on page and on his grave marker. That is the date I would use as it appears that someone creating the record saw the date for his wife and typed in that year on FAG.