Police Scotland were called to an address in Kinloss Crescent, Cupar, Fife, in the early hours of Saturday morning after concern was raised for the infant.
Violet-Ivy Turnbull was subsequently pronounced dead and officers are investigating the circumstances.
In a statement released through Police Scotland, her family said: “We as a family are devastated by the loss of our beautiful daughter, granddaughter and sister Violet-Ivy Turnbull.
“We wish to be left in private to mourn at this time.”
The death is being treated as unexplained.