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Welch Township is a township in Goodhue County, Minnesota, United States. It lies about halfway between the cities of Hastings and Red Wing and 36 miles southeast of Saint Paul. The population was 697 at the 2000 census. It is centered on the small community of Welch on the Cannon River. Like many river towns in the Driftless Area, it is situated at the base of the steep bluffs of the river valley.
After the establishment of the Minnesota Territory in 1849, Dakotah County (later Dakota County) spanned from the Mississippi River to the Missouri River. By the time Minnesota achieved statehood in 1858, power and influence had shifted from Mendota, across the rivers to Saint Paul and Minneapolis.uch of the county is self-contained except for two examples. The City of Hastings, the county seat, lies on both banks of the Mississippi River and was heavily linked historically and physically by rail to the early growing influence of the state's capital, Saint Paul.