Corsicana police on Monday appealed for the public's help in identifying the infant and locating his mother.
Chief Randy Bratton says a man called police around 9 p.m. Sunday to say his wife found the baby on the doorstep of their carport. The baby was wrapped in a towel that was in a pillowcase and inside a handbag.
Bratton says the baby, with umbilical cord still attached, was taken to a hospital and is stable. Child Protective Services has been contacted.
Forecasters say temperatures were in the upper 40s around the time the baby was found in Corsicana, about 50 miles southeast of Dallas.