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trial court
In the Illinois state court system, the trial courts are called Circuit Courts and are the lowest courts. Trial court decisions may be appealed to appeals courts within the state court system. For more information on the Illinois court system, see the Illinois Court Directory related link.
This depends on the state in Georgia there are 12.
New York State designated their 62 trial courts (courts of original, general jurisdiction) "The Supreme Court of the State of New York." The State's highest appellate court is the Court of Appeals.
generally in trial court (i.e., the lowest court)
In the federal Judicial Branch of government, the US District Courts are the trial courts for cases of general jurisdiction. State judiciaries may also have district courts.
The case won't be heard in Federal Court. The initial trial (if it ever gets that far) will be heard in the lowest level court of original jurisdiction - probably a state circuit court.
Four Levels of state courts from lowest to highestLower State Courts Magistrate courts or police courts Municipal Courts Special Small Claim Courts General Trial Courts General Trial Courts Courts of Record Appellate Courts Intermediate Appellate Courts State Supreme Court State Supreme Court Court of Last Resort
It's unnecessary to file a motion requesting a "speedy trial," that right is already guaranteed to you by the Constitution and is automatically applicable to all criminal court proceedings.
Original jurisdiction
The Court of Appeals.
State trial courts are typically referred to as circuit courts. The United States Supreme Court is known as the highest court in the land.