The 31 Mar 1889 marriage was to John G Strother:
"Louisiana, Parish Marriages, 1837-1957," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:QG1T-BCC9 : 15 May 2018), John G Strother and Elizabeth Johnson, 31 Mar 1889; citing Rapides, Rapides, Louisiana, United States, various parish courthouses, Louisiana; FHL microfilm 1,316,048.
Yep, two different Strothers, probably two different Elizabeths.
John, s/o William and Winnie (per FaG), in 1880:
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MDX8-Q52 : 15 August 2017), John Strother in household of William Strother, Calcasieu, Rapides, Louisiana, United States; citing enumeration district ED 38, sheet 569C, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0466; FHL microfilm 1,254,466.
Azariah death record:
"Louisiana Deaths, 1850-1875, 1894-1960," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:F3Q4-ZSM : 10 March 2018), Azarriah Columbus Strother, 02 Jan 1933; citing Canaan, Allen, Louisiana, certificate number 34, State Archives, Baton Rouge; FHL microfilm 2,392,646.
Parents John Strother and Ardie Missie.
AC married Ellen Willis in 1906:
"Louisiana, Parish Marriages, 1837-1957," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:QG1T-PS2J : 15 May 2018), Azariah Strother and Ellen Willis, 29 Mar 1906; citing Rapides, Rapides, Louisiana, United States, various parish courthouses, Louisiana; FHL microfilm 1,316,163.
If it's the same Elizabeth both times, maybe she divorced John G then married his cousin?
Nope!
John G and Elizabeth, with kids including Hersi, living with John's dad in 1910:
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MPYB-PW9 : accessed 19 July 2018), John G Strauther, Spring Hill, Rapides, Louisiana, United States; citing enumeration district (ED) ED 88, sheet 5A, family 60, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 527; FHL microfilm 1,374,540.
Azariah's Elizabeth died in 1904, according to FaG.
Here's 'Joseph' and Elizabeth, with their unusually named children in 1900:
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSRM-F2L : accessed 19 July 2018), Elizabeth Strother in household of Joseph Strother, Ward 6 Calcasieu, Rapides, Louisiana, United States; citing enumeration district (ED) 131, sheet 5A, family 74, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,240,578.
On the image, his first name is scribbled over, and could easily have been John.
Here's Elizabeth and Azariah in 1900, too:
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSRM-9NX : accessed 19 July 2018), Elizabeth Strother in household of Asariah Strother, Ward 6 Calcasieu, Rapides, Louisiana, United States; citing enumeration district (ED) 131, sheet 3B, family 54, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,240,578.
That is too awesomely weird!