Personal Jurisdiction Is a judgment valid if ??

My wife and I were taken to small claimes court by the snow plow guy .. he did not do his job and we had to have someone else do it and refused to pay him for work he did not do and had already paid someone else.

He filed suit in City small claims court.

My wife went to the court (she was the only defendent listed) and the judge found she hadn't enough physical proof that he did not do his job.

The man who acualy did the work pass away the week of the hearing.

any way.....

we dont live in the City

we live in the town out side the city limit.

(Saratoga springs, ny / town of saratoga)

Does the City court have Personal Jurisdiction over residents outside the city limit?

Or should the case have been filed in the town court?

and can the judgment overturned based on this ?