The actress' character on the daytime drama is in labor this week with her daughter.
In real life, 29-year-old Storms is also pregnant with her first child, due in January, and says it's a baby girl.
Dad is 33-year-old Brandon Barash, who played Johnny Zacchara on the soap but left the show in April.
Storms and Barash also say they secretly got married in June.
The couple thinks they conceived the baby on a trip to Amsterdam, while staying in co-star Tony Geary's guest room. Geary plays longtime character Luke Spencer on the show.
People magazine first reported the news.
"General Hospital" is now in its 50th year on the air.