General Affidavits are written statements of fact used to support your case or verify facts that are sworn to be true in front of a notary public. An Affidavit of NonProsecution is a pretty standard form.In fact, a few Texas courts even provide a blank affidavit that you can fill out. To begin the legal process for small estate affidavits in Dallas County, gathering all the necessary documents and information is essential. Small estate affidavits are a fast and affordable way to transfer property after someone has died, when the decedent died without a will.