I'm Lucy, and I'd be happy to answer your questions today. I'm sorry to hear that this happened.
As a general rule, a person cannot appeal a judgment that they agreed to, because the standard on appeal is "Did the judge make a mistake?" The judge didn't make any mistakes in a consent judgment. What you can do is file a Motion to Vacate Judgment based on fraud, in that what was filed was not the same document that you signed. If the judge declines your Motion to Vacate, THEN you could appeal the denial of the motion.
With that said, yes, you can also file a Motion to Stay. The standard that you have to show is that you're likely to prevail on the merits of the appeal, that you will be irreparably harmed if the house is sold while the appeal is pending, and that the injury to you if the judgment is not appealed outweighs the potential harm to the other party in the delay. Since they'll eventually get their money but you'll be out your home if the sale goes through, the balance of equities tends to weigh in your favor.
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