UPDATE: Dusten Brown could be forced to pay Capobianco's legal fees in Baby Veronica case

They have his biological daughter. Now Dusten Brown could be forced to pay the Capobianco's legal fees and other expenses in the Baby Veronica case.

KRMG has confirmed with Brown's lawyers that court action is underway to recover possibly hundreds of thousands of dollars from Brown.

Lori Alvino McGill, an attorney for Matt and Melanie Capobianco, says the Capobiancos are not directly suing Brown.

McGill says the South Carolina courts are pursuing Brown to recover legal fees and other expenses for the Capobiancos.

The little girl known as Baby Veronica was handed over to her adoptive parents, the Capobiancos, Monday night.

The couple, along with Veronica, then began the 1,000 mile drive from Tahlequah to the Capobianco's home of South Carolina.

Earlier Monday, the Oklahoma Supreme Court said it didn't have jurisdiction in the adoption dispute involving the 4-year-old Cherokee girl.

The biological father, Dusten Brown, lives in Oklahoma and has been fighting the adoption in court.