1. From the facts furnished by you, it seems that a lawsuit for recovery has been filed against your parents. However, it is not clear form your query as to at what stage the case currently is.
2. Has the court passed any interim order till now?
3. If your father is dead the case can be continued against your mother and also the legal heirs of your deceased father i.e you and your mother.
4. If the court holds your parents liable to pay the amount, the order of the court will have to be complied with.
5. If you have engaged a lawyer then your personal presence in the court is not required.
6. We cannot predict the period within which the case may be decided by the court. If the case is at an initial stage the disposal may take a year or more. If, however, the evidence has started it may be decided within the next few months.
7. There is no bar to your mother travelling to USA unless the court has restrained her.
8. Regardless of which corner of the world your mother travels to or resides in she will be legally obligated to abide by the judgment of the Indian court, failing which the coercive process of law can be set in motion against her.