Erica Rosello, 32, has been charged with child neglect following the blaze.
The mother allegedly escaped the property in Miami on Thursday night as the fire consumed the apartment, but she left her daughter behind.
The blaze started when Rosello poured water on an oil fire in the kitchen.
She was not with her daughter and ran out of the apartment before asking a car to drive her to a friend”s house.
Once firefighters arrived at the scene, they broke through a window to rescue the young girl, who was unconscious from smoke inhalation.
She was taken to Nicklaus Children”s Hospital, but has now been released and should make a full recovery.
Rosello called her mother, Angelico Tabio, from her friend”s house.
Ms Tabio said: “When her friend calmed her down – that friend has my phone number – he called me, and the first thing she told me was, “Mom, [she] is dead”.”
The grandmother said she replied: “What do you mean [she] is dead? No, [she] is here in the hospital.”
Rosello later arrived at the hospital, where she was arrested.
The mother has been charged with child neglect is not allowed to contact her daughter, who is now in the custody of Ms Tabio.
Rosello cried in court on Sunday as she was told she could not see her daughter and she is now being held under house arrest.
Ms Tabio has said that Rosello loved her daughter but she was suffering from post natal depression.
Miami-Dade firefighter David Arrencibia said he could hear the girl crying when he arrived at the home.
He said: “The bed was literally two feet from the window and I happened to see the little girl.”
He smashed a window and got his partner to lift him inside.
He said: “I could tell she was unconscious. It was picking her up, turning around and taking her out the window.
“I feel accomplished. I’m grateful that the situation was such that we were able to get her out as quickly as we did. Had we taken another three, four minutes the outcome would have been different.”