If you were granted cancellation of removal by the immigration judge, the government would certainly have appealed to the Board of Immigration Appeals. And, chances are, the Board would have "sustained" the government's appeal and ordered you and your family removed ("deported").
If you were fortunate enough to have a competent appellate lawyer, a Petition for Review would have been filed with the United States Court of Appeals for the Ninth Circuit or elsewhere. If you didn't, you're lawyer would have advised you to file a makeshift petition for writ of habeas corpus before the United States District Court, challenging the Board's decision.
So, if you have a case pending at the Ninth Circuit Court of Appeals pertaining to the Board's granting the government's appeal, or your case is presently pending, your lawyers must act. And, they must act now.
On December 28, 2004, the Court of Appeals decided the case of Lorenzo Molina-Camacho v. John Ashcroft. In this case, the Court was confronted with the scenario mentioned above, namely: a family was granted cancellation of removal by the immigration judge, the government timely appealed and the Board granted the government's appeal and ordered removal.
Elaborating on its holding in Noriega-Lopez v. Ashcroft, the Court of Appeals held that the Board was acting contrary to statute and regulation and did not have the power to order persons removed who were previously granted cancellation of removal. Instead, were the Board to grant the government's appeal-that the hardship standard for cancellation of removal was not met in the immigration court-all the Board could do was to send the matter back to immigration court for reconsideration.
So, complicated case-law aside, here's what needs to be done: (1) If the government's appeal of your cancellation case is pending before the Board, your lawyers should request that the Board take judicial notice of the new case; (2) if your case has been unfavorably decided by the Board and is pending before the 9th Circuit, you should move to reopen your case. If your family has already departed the United States, district court action should be pursued. Certainly, timing issues will apply to the motion to reopen and the motion should be aggressively pursued.
Lastly, it is your lawyers that should be informing you of this decision, not you informing them. It is my humble prediction that after your lawyers read this article, they (or your paralegal) might be giving you a call. If they don't, should ask yourself if your lawyers are aware of what's going on with your case.