Evidence of these people can still be found in numerous pictograph and petroglyph panels, such as those in Temple Mountain Wash, Muddy Creek, Ferron Box, Black Dragon Canyon, and Buckhorn Wash-all sites listed in the National Register of Historic Places.
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It passed through the Rochester Flats about one mile (1.6 km) east of present day Moore and crossed the Muddy Creek about two miles (3 km) due east of the present town of Emery.
It exits Convulsion Canyon and crosses under Utah State Route 10, south of the town of Emery, and then flows southeasterly and intersects with Ivie Creek, which ultimately merges with Muddy Creek and passing the Hidden Splendor Mine area, it passes through the San Rafael Reef at the Muddy Creek Gorge.
The establishment of Red Hill State Park coincided with the construction of dam and reservoir on Muddy Creek.
Muddy Creek cuts into the western edge of the Swell, exits at Muddy Creek Gorge, and then flows across the Blue Hills Badlands near Caineville to its confluence with the Fremont River.
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Otter Creek was famously mentioned in the band Live's song, "The Dam at Otter Creek." Remnants of the Maryland and Pennsylvania Railroad are also scattered throughout Airville, along Muddy Creek.
Colorado River cutthroats are thought to have occupied the basin of upper Muddy Creek, a tributary of the Little Snake River (which ultimately flows into the Colorado River) in southern Carbon County, Wyoming.
The Brighton-Le Sands Amateur Fisherman's Association and TS Sirius, an Australian Navy Cadet unit, is located in Bestic Street, beside Muddy Creek.
A deed was written by Thomas Harwood of Streatley, Berks County (Berkshire), England to his son Richard Harwood for Hookers Purchase at the head of Muddy Creek.
While serving as a private in Company H, 2nd U.S. Cavalry, he fought in an action against Indians at Muddy Creek in the Montana Territory on May 7, 1877.
In the summer of 1921, calling themselves the vagabonds, Thomas Edison, Henry Ford and Harvey Firestone camped at Muddy Creek Falls.