But his arrest on federal corruption charges has clearly complicated his work as the state's chief executive and already cost the state some $20 million. The state is facing a potential $2.5 billion budget deficit and the governor doesn't have the same horsepower — or clout — to address the problem that he had just a month ago.

No one in the state capital trusts Blagojevich enough to give him authority to trim the budget on his own, as he requested in November. Any other idea he advances would probably be rejected out of hand. Yet no other official can take the lead.

"Everything just comes to a halt. You have complete paralysis," said House Republican Leader Tom Cross of Oswego.

Blagojevich, a second-term Democrat, was arrested Dec. 9 on charges accusing him of scheming to swap President-elect Barack Obama's vacant Senate seat for profit, shaking down a hospital executive for campaign donations and other wrongdoing.

The governor has defiantly insisted he's done nothing wrong and that he will not resign. His aides say he is going about business as usual.

The facts are so clear that no trial is needed, U.S. District Judge Jay Zainey wrote.

"What a great Christmas present for these guys!" said Kenneth D. Upton Jr. who represented Oren Adar and Mickey Ray Smith of San Diego.

In his ruling Monday, Zainey said Louisiana's Office of Vital Records must give full faith and credit to the New York State court in which Adar and Smith adopted the boy, he ruled Monday. The office had refused to issue a birth certificate listing both as the boy's legal parents.

Upton, reached at home Saturday evening, said he hopes to get a birth certificate in the coming week but doesn't know whether the Louisiana Attorney General's Office — which is in charge, although a state health department attorney argued the case — will decide to appeal.

The attorney general's office will look into the matter next week, said Tammi Arender Herring, spokeswoman for Attorney General James "Buddy" Caldwell.

Upton, of Lambda Legal Defense and Education Fund Inc. of Dallas, said it is the fourth case of its kind that he knows of. Cases in Oklahoma, Virginia and Mississippi also were decided in the parents' favor — the Mississippi case decided at trial about a month ago, he said.