Can I get money back if an attorney loses a case?

I have a lawyer in DE says yes. Next is on appeals, is a judge who based his decision on pure hearsay acceptable grounds to base a decision on permanent custody to one parent or another without proof of a conviction or law enforcement contact? This decision as I see it is not based on fact while children are present in court to be cross examined. Judge states he would like to have interviewed children. As stated in decision, however was never asked to do so. I feel personally that this decision is illegal and unjust. I need a leg to stand on. Time is running out. I got the decision today and five days down toward appeal. Lawyer claims $5000.00 is fair to appeal and lose. I feel I can’t write a better appeal than this lawyer. I am ready to begin law school but haven’t got a clue. I need this cut and dried.