Tennessee
The State of Franklin was an unrecognized and autonomous territory which is located now in Tennessee. Franklin was created in 1784 from parts of the Appalachian Mountains that were offered to North Carolina as a cession to Congress to pay off debts from Revolutionary War. It later became the state of Tennessee.
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The capital city of this empire was Tollan-Xicocotitlan, while other important cities included Tulancingo, and Huapalcalco, although some more distant cities like Chupícuaro, Chichen Itza, and Coba seem to have been under Toltec control or influence at some point.
I don't know all of them but the battle of Lepanto took place in 1571.