Madonna Badger, a New York City ad executive escaped the fire with another adult and is in fair condition at Stamford Hospital.
She had twin 7-year-old girls and a ten-year-old daughter; the children and her parents were killed in the blaze.
Badger used to work for Calvin Klein's in house ad agency and is responsible for the popular CK campaign with Mark Wahlberg and Kate Moss.
The fire broke out at the home on Shippin Avenue and Ocean Drive East around 5:00 a.m. Christmas.
A neighbor, Sam Cingari Jr., says he was awakened by the sound of screaming. He says the house was entirely engulfed by flames.
It went to three alarms before firefighters could get the flames under control.
"It is a terrible, terrible day for the city of Stamford," Mayor Michael Pavia told reporters at a news briefing at the scene of the fire. "There probably has not been a worse Christmas day in the city of Stamford."
Acting Fire Chief Antonio Conte said attempts by firefighters to rescue the house's occupants were pushed back by intense flames and heat.
The 3,349-square foot, five-bedroom home sold for $1.7 million in December 2010, according to the Stamford assessment office's website.
Neighbors told Eyewitness News that a family had moved into the home just a couple of months ago.
They said the house had been undergoing renovations.
The cause of the fire is under investigation.
"Our heart goes out to the family and friends of these people as well as the firefighters and emergency medical people, (police), and all that were on the scene and are frankly suffering as a result," Pavia said. "We hope they find peace soon."
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