Vermonters declared independence in 1777, seeking union with the U.S. rather than separation, ultimately becoming the 14th state in 1791. Texas, after a brief period as an independent republic, faced challenges with recognition and annexation, which became a pivotal issue in U.S. politics. Meanwhile, Hawaii's unification under King Kamehameha I marked a significant moment in its political history, contrasting sharply with the experiences of mainland territories.