The name comes from John Henry Weber (1779–1859) who was an American fur trader and explorer in Utah.
"Weber was born in the German speaking community of Altona, which was in Danish territory at that time; the community is today part of Germany. Weber immigrated to the United States where he was hired by the U.S. army ordinance department to keep records at government owned lead mines at Sainte Genevieve, Missouri. He became acquainted with William Henry Ashley and Andrew Henry who conducted the beaver trade in the drainage of the Upper Missouri River. Weber joined a Rocky Mountain Fur Company expedition which departed St. Louis, Missouri in the spring of 1822. Other trappers in this group included: Jim Bridger, David Jackson, Jedediah Smith, Thomas Fitzpatrick, Hugh Glass, James Clyman, Daniel T. Potts, and the Sublette brothers, Milton and William. This was the first party of American trappers to cross the continental divide.
Upon reaching the mouth of the Yellowstone River, the company divided into two independent brigades, with Weber serving in a leadership position. During the summer of 1824, Weber's brigade crossed South Pass and the Green River Valley and descended into the Bear River region in time for a fall hunt. As winter approached, the company journeyed to Bear Lake, then to the Bear River's northern bend and finally south into what is today Utah’s Cache Valley. The brigade spent the winter of 1824-25 on Cub Creek near present-day Cove, Utah. While in Cache Valley, the group discussed the possible course and ultimate outlet of the Bear River. According to his own account, the young Bridger was selected to settle the question by floating down the river. For many years Bridger was credited for the discovery of the Great Salt Lake. More recent evidence suggests that Canadian-American Etienne Provost and his trapping party, working out of Taos in Mexican territory, visited the southern edge of the inland sea earlier in the same winter.
The following spring Weber's brigade traveled throughout extreme southeastern Idaho and northern Utah. A portion of the brigade, under the leadership of Johnson Gardner, confronted Peter Skene Ogden, the leader of Hudson's Bay Company's Snake Country Expedition near present-day Mountain Green, Utah. Gardner insisted that they were in United States territory. Ogden countered that the area in contention was under joint occupation. During the incident, Gardner was able to lure a number of men, many of them Canadian Iroquois, away from their British employer by offering higher prices for their furs. The reduction in force led Ogden to retrace his steps back to HBC's "Flathead House" near Flathead Lake in modern Montana. That summer, Weber and his brigade were at the first rendezvous held in Sweetwater County, Wyoming, near present McKinnon, just north of the Utah border.
Weber's remaining mountain years are less well documented; however, he spent the winter of 1825-26 in the Salt Lake Valley after Ashley's men were forced by severe winter weather to move their winter quarters from Cache Valley. It appears that Utah’s Weber River was christened during this winter camp. This place-name gave rise to the modern names of Utah’s Weber Canyon, Weber County and Weber State University.
Weber attended the rendezvous of 1826 in Cache Valley and left the fur trade, and the west, shortly thereafter. However, some accounts confuse John Henry Weber with a trapper named John Weber who was killed by Indians in the winter of 1828-29. Weber spent the remainder of his life in the American Midwest, first returning to Sainte Genevieve and his former position as recorder with the mines. By 1833 Weber was assistant superintendent of government mines in Galena, Illinois, and served briefly as superintendent until his retirement in 1840. Weber moved to Bellevue, Iowa where he died in 1859.