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Bo Bice

Roger Williams/ZUMAPress.com

Fatherhood continues to be the real thing for Bo Bice.

The American Idol rocker and his wife Carolyn welcomed their second child together, a son named Caleb, Tuesday in Nashville, per Us Weekly.

The couple are also parents to son Aidan, who will be 3 in September.

Meanwhile, the book of baby names had been collecting dust for quite awhile

"We're having a little boy and we're going to name him Caleb," Bice told People in May at the American Idol finale, thereby revealing that kid No. 2 was on the way. "It's a good biblical name. We stuck with that with both kids—good Irish and good biblical names...We're just blessed to have such a beautiful family."