I see from your message history you think the following is your Emily, but there are 2 on the 1880 in AR close enough to be your Emily.Do you know something about her family to think this is the correct one?
1880 census Pineridge, Monroe Co, AR:
NameRelation Marital Status Gender Race Age Birthplace Occupation Father's Birthplace Mother's Birthplace
George W. TULLYSelfMMaleW44ARFarmerTNTN Malissy TULLYWifeMFemaleW31KYHousekeeperKYVA Lucius TULLYSonSMaleW11ARLaborer On FarmARKY Agness TULLYDauSFemaleW8ARARKY Salena TULLYDauSFemaleW7ARARKY Emily TULLYDauSFemaleW1ARARKY Josaphine TULLYDauSFemaleW2MARARKY [If this is correct family I can track them back in census]
I found Lucious with wife and children on the 1900 census in LA, first 3 ch born in AR, youngest 7 & 5 born in TX.Next door is widowed George living alone.
Here is the other Tully family 1880 Mountain, Yell Co, AR:
Britain A. TULLYSelfMMaleW30TNFarmingTNNC Cyntha B. TULLYWifeMFemaleW26TXKeeping HouseNCTN Irvin W. TULLYSonSMaleW6ARTNTX Nancy C. TULLYDauSFemaleW4ARTNTX Emely B. TULLYDauSFemaleW5MARTNTX
Now, there are 2 towns in TXnamed Palestine, one in Anderson, the other in Hopkins Co.Do you know which county?
Do you know when and where any of their children were born?Anything that would help to narrow the search for common name of Smith.