McCready and boyfriend David Wilson welcomed their son Zayne on Monday. In a statement, McCready called the boy "a blessing and a joy."
The country singer and former "Celebrity Rehab" star says it was "a long and trying" pregnancy. The statement said McCready would not be doing interviews because of a court directive in the custody case over her first son, Zander.
McCready took Zander from her mother and the boy's legal guardian, Gayle Inge, late last year. She fled to Arkansas without permission over what she called child abuse fears. Authorities eventually found McCready and Wilson hiding in a residence without permission and took the boy into custody.
Zander's status is unclear due to court privacy rules.