Writing on Facebook, her daughter Dorris said: "My mother was a part of the homeless population that lived in the nearby wooded area. It is believed that she may have been walking to or from her camp site near the creek in the dark and the alligator attacked from the water.
"My mother, Sabrina Peckham was the victim of the alligator attack at McCay Creek (rainbow village). Please understand that we do not have all information yet as the medical examiners report is not yet finished.
"Some details I would like to share is that my mother did not 'taunt' the alligator as some are saying in the news outlets comments. We expected to have many many more years with her. Unfortunately god has called her home sooner than our hearts were ready."
A GoFundMe page has since been launched to help support the family and has raised more than $8,000.
Sabrina Peckham was dragged by the animal into a canal on Friday in Largo, ClearwaterReuters
Dorris added: "The past 24 hours have been filled with grief and sorrow and unbearable pain for our family.
"To my mother: I love you more than I ever expressed, I miss you more than you'll ever know and I pray that you are looking down over me and your grandchildren.
"Please protect us. I'm so sorry this happened to you. I pray you are at peace and you are no longer struggling or hurting. I pray you found momo and pop and you all are watching down from above."
Emergency responders, with the Florida Fish and Wildlife Conservation Commission, managed to pull the alligator from the water before shooting it dead.