Eviction Cases must be filed in the Justice Court in the Justice of the Peace Precinct in the county in which the real property is located. Information about Justice Court Suits and Civil Cases in the Harris County Justice of the Peace Courts.Section 46.130 contains a form for an appeal bond for a justice court. The property owner has 25 years in which to challenge your claim. You can go to the courthouse and file an emergency motion to stay execution of the writ and state your reasons in the motion. Evictions usually involve a tenant not paying rent on time or breaking a rule included in the lease. Evictions also require a notice to vacate. Harris one eighth undivided interest in the property. The court clerk might have a sample motion or just a blank motion form you can get and fill out and list your reasons for filing the motion. img. logo. One of the most commonly misunderstood areas of Real Property law is that surrounding adverse possession.