Family members said they had not heard from Alloway since early June.
Authorities identified her body on July 20 using dental records. Her body was discovered July 12 in a creek near Otway, which is 78 miles south of Columbus. A cause of death has not been determined.
According to a Columbus television station, Alloway, who is a single mother of two, left her children and traveled to Portsmouth to meet a man she had chatted with on the Internet for about six months.
Apparently, that friendship lasted less than two weeks after she arrived in Portsmouth.
Alloway reportedly met a second man who was later arrested with stolen property that belonged to her.
After interviewing both men, police said neither is a suspect in the case.
Anyone with information about the case should call the Scioto County Sheriff's Office at (740) 354-7566.