In April 1991, Sharkey began a relationship with model/actress Elena Monica, daughter of comedian Corbett Monica. In July 1991, she became ill and was hospitalized with aseptic meningitis. During a routine check, she tested positive for HIV. Monica believed she contracted the virus from Sharkey who continued to deny that he had infected her. Monica ended the relationship in October 1991 due to her suspicions. In July 1992, she learned that another woman also suspected that Sharkey had infected her with HIV as well. Later that same year, Monica filed a $52 million lawsuit against the actor for knowingly infecting her with HIV.