In the [[general election]], he led his gubernatorial ticket-mate, [[Wallace Wilkinson]], a native of Casey County, Kentucky. Despite their mutual Democrat affiliation, Lieutenant Governor Jones had a poor relationship with Governor Wilkinson, who proposed that his wife, Martha Stafford Wilkinson, enter the 1991 race to succeed him. Ultimately, Jones easily defeated the Republican nominee, former [[U.S. Representative]] [[Larry Hopkins]]. Governor Jones also had a strained relationship with the state legislature, but he was still able to pass an amendment that would after four years allow state officials to succeed themselves in office one time. He achieved only a partial victory on his top legislative priority, health care reform. While the legislature passed a law to eliminate the practice of denying [[insurance]] coverage to those with pre-existing conditions, they did not approve his call for universal health care.<ref name=bjones/>
Following his term in office, Jones founded the Kentucky Equine Education Project.<ref>Brereton Jones - Owner (horseracingnation.com), accessed November 23, 2021.</ref> He considered running for governor again in 2003, but never formally became a candidate. Republicans scored a rare gubernatorial victory that year with U.S. Representative [[Ernie Fletcher]].
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