The hearing at Nottingham Coroner's Court was told Kelly Brailsford accidentally smothered baby Tamzin at their home in Blidworth, Notts.
Kelly had fallen asleep while she was watching television.
Coroner Dr Nigel Chapman was told the cause of death was "mechanical asphyxia". He recorded a verdict of accidental death.
He said: "I would warn parents and relatives of babies and young children to be very careful and make sure they do not keep their children with them when they go to sleep.
"If they think they could fall asleep, then they should remove the baby or child to a cot where they are on their own and can sleep safely."
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