The Mueller-Wright House was constructed in 1843 by Hoel Wright, a government surveyor, and his wife Orilla. Moving to Wisconsin in 1833, the Wrights established trade with Native Americans, built a hotel called The American House, and started a ferry service across the Fox River. The Wrights constructed the two-story center portion of the existing house and when they left the village in 1866, they sold the house to their son Lucian, who later sold it, and it fell into disrepair. 

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Carl G. Mueller arrived from Germany in 1856, initially clerking in The American House before opening a general store, sawmill, and brewery. In 1871 he purchased the Wright house, repaired it, and added two one-story wings, a front porch, and a second-floor recessed balcony, giving it a popular “Greek revival” appearance. The Mueller family lived in the house for 67 years, until 1938. At one point, the back portion was separated for rental use. 

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In 1974, Wrightstown received a $28,500 grant from the Fort Howard Paper Foundation for renovations led by Donald Smith of the Historical Society. The Village of Wrightstown bought the home from Carlton Mueller, a grandson of Carl G. Mueller, for $9,000 and tasked the Society with managing the museum. The back unit continued to be rented, providing the Historical Society funds for maintenance. In 2006, the Society took possession of the entire house, preserving the front to depict the years 1880 to 1900, while the back was renovated into an exhibit room that showcases local history, including a research area for genealogical inquiries. Visitors are encouraged to explore the museum during hours of operation or schedule a tour.