Elizabeth Fewell 1849 Arkansas and the Mystery Man

Elizabeth Fewell b. 28 Feb. 1849 Arkansas, d. 12 Nov 1929 She was the mother of 3 girls,
Florence Ellen b. 03 Jun 1868 Coryell County, Texas (my ggrandmother)
Ollie Bell b. 28 May 1881 Lampasas, Lampasas County, Texas
Annice Oleana b. 02 Oct 1885 Copperas Cove,Coryell County, Texas

Our problem is that we have no idea who the father(s) was of these girls. Family gossip has it that Florence was born out of wedlock. At this time, having children before marriage was not accepted. I think that Elizabeth gave false information and/or her family covered it up.
Every census that I've found Eizabeth in, lists her parents birthplaces differently. Elizabeth's death cert. lists her parents as John Lail of Indiana and Malinda Wells of Missouri, and James Fewell was listed as her husband. In reality, her parents were, most likely, James Fewell of Ohio and Malinda Lail of Missouri.

We've considered DNA testing, but that is impossible because Elizabeth only had girls. So, we are hoping that SOMEONE has a document, picture, or even a theory about who this man (or these men) could have been. ANYTHING constructive anyone wants to add is MORE than welcome!
Attached is a picture of Elizabeth Fewell in New Mexico. I'm unsure of the date, but I would guess around early 1900.