Sarah Jessica Parker, Matthew Broderick and their newborn twin girls left East Ohio Regional Hospital in Martins Ferry on Thursday.

Parker, the 44-year-old star of the TV show and film "Sex and the City,'' and Broderick, her 47-year-old husband and fellow actor, had confirmed they were expecting twin daughters by a surrogate.

According to WWVA, Parker's publicist said that Marion Loretta Elwell Broderick weighed 5 pounds and 11 ounces, and that Tabitha Hodge Broderick weighed 6 pounds. The babies were born Monday.

Media from across the county had been calling the hospital to get information about the new babies. While fans and paparazzi kept watch on a limo parked in front of the hospital, the mother and babies were ushered out a side door with little fanfare. Broderick was not present during the departure.

The couple had brought in their own security to make sure onlookers were kept at a distance and the couple's privacy was protected.

"They left the same way they came in the door. They came in quietly, they went to the birth place, they bonded with their new babies and they left the same way," said Maggie Espina, spokeswoman for East Ohio Regional Hospital.

In the meantime, Martins Ferry Police Chief Barry Carpenter remains under investigation in connection with possible wrongdoing against the surrogate.

Carpenter previously confirmed to NEWS9 he is under investigation and said he is facing allegations that he said are simply untrue. NEWS9 has been trying for weeks to obtain documents about the allegations, but the documents have not been made public.

Carpenter has not elaborated on the allegations against him, but said both he and his department are innocent of any wrongdoing when it comes to the surrogate mother. The chief said he expects the investigation to prove that.

Harrison County Prosecutor Shawn Hervey, who is a special prosecutor assigned to the case, had not released any new information about the investigation as of Thursday.

Carpenter remains on the job while the investigation continues.

Stay with NEWS9 and WTOV9.com for continuing coverage as details become available.