Thomas Lee, speaking to CBS' The Early Show, called it "one of the most rewarding moments in my police career."
Seven-year-old Reigh was taken last Sunday during a supervised visit with her father, Clark Rockefeller, who was divorced from Reigh's mother, Sandra Boss.
Rockefeller was arrested Saturday in Baltimore. Police found Reigh safe in an apartment her father rented under an alias.
This morning the 48-year-old Rockefeller waived his right to a governor's warrant and will be extradited from Baltimore to face justice in Massachusetts.
He signed the waiver before a hearing Monday on a fugitive warrant.
Rockefeller faces charges in Massachusetts of felony custodial kidnapping, assault and battery and assault and battery with a dangerous weapon.
He faces no charges in Maryland, where he was arrested Saturday.
Baltimore District Court Associate Judge Norman Braverman set an Aug. 15 date for a status hearing. Authorities from Massachusetts have 30 days to retrieve Rockefeller from Maryland.
He will be held at the Central Booking facility in Baltimore until his return to Massachusetts.
During his court appearance, Rockefeller was dressed in a blue polo shirt and khakis and wore handcuffs and leg irons. He did not speak and was not represented in court by an attorney.
Meanwhile, mother and daughter are doing fine.
A New Town, A New Alias
Boston police tell the Boston Globe that it appears Rockefeller was setting up a new life in Baltimore at the time of arrest.
The seller of a home Rockefeller bought for $450,000 cash a month ago says he called himself Chip Smith and mentioned his daughter was coming to live with him.
"We understand his boat has been down there at least two years and he had been traveling in the area for some time over the last year," Lee told The Early Show.
Authorities are still trying to determine his real identity after they uncovered additional aliases he used in Maryland.
Last Sunday, Rockefeller disappeared with his daughter, allegedly taking Reigh in a calculated plot that included fleeing from a social worker near a Boston park and setting up two rides to take him and Reigh from Massachusetts to New York.
The two were last seen at Grand Central Terminal in midtown Manhattan last Sunday.
During a news conference Sunday, Boston Police Commissioner Ed Davis thanked the public and the media for their help in the case. Hundreds of tips had been called in.
CBS station WBZ reported that many tips did not pan out. Investigators in New York got a 911 call that the girl was seen on a Brooklyn bus, but the lead proved false. On Friday, police dismissed several witness reports that Rockefeller and his daughter were spotted in the Caribbean the day before.
On Thursday, the FBI suggested that Rockefeller may have dyed his hair an orange-red color and may have cut Reigh's hair to make her look like a boy. However, both of their appearances were unaltered at the time of Rockefeller's arrest, police said.
CBS News correspondent Priya David reports that a tip from "a concerned citizen" helped Baltimore police and the FBI track down Rockefeller.
After investigators learned the two were at an apartment in the northern Baltimore neighborhood of Mount Vernon, Davis said, the FBI created a ruse, luring Rockefeller from the apartment by calling him from a nearby marina to tell him his boat, a 26-foot catamaran, was taking on water.
Upon leaving the apartment, he was immediately arrested. Police said Rockefeller was cooperative.
The FBI said Rockefeller's daughter was ecstatic when they found her. That part of the case is solved.
But there's still a mystery: What is Rockefeller's real identity?
A Rockefeller spokesman says the 48-year-old bears no relation to the famous family.
Police said authorities still aren't sure what the man (who has used several aliases) did for work or money, and aren't sure if he has a valid Social Security number.