Looks like Mary married Daniel Sortor, This info is relevant as they had a daughter named Lucretia Sortor. Maybe named after her grandmother making the Lucretia Collier entry the correct entry?
I completely missed the Sorters in that household. That ties them all together. The older Lucretia's age is transcribed by familysearch as 70. So she would be the mother of Mary Collier who married Francis M Davis. Charles (44) and the older Frances (42) listed after Lucretia would be Mary's siblings, born in NC before the family moved west.
Another of Mary's sisters was probably the wife of a Sorter, making Thomas, Jane, and Lucretia (10) Mary's nephew and nieces. The sister dies, Mr Sorter remarries, and the kids go to the wife's family
Mary (Collier) Davis' birthplace being given as Georgia in 1870 might just be a mistake. Charles' wife Mahala was born in Georgia so I thought the Collier family might have touched down there for a while on their way to Mississippi and then to Missouri, but not necessarily so.
At any rate you have another generation backward, Lucretia (70), without much effort. Nice when the families all live together.