The Gloddy family would face more death. One of Kathy's older siblings, Richard, passed away from a congenital heart defect. Kathy's father, Earl Gloddy, died from cancer in 1992. Her mother, Lucille Gloddy, committed suicide in 1997.
"As kids, it hurt tremendously that she had done that [committed suicide] and I had to pray to forgive her, but it still hurts," said Karen Gloddy.
Now, authorities say they may be close to solving Kathy's murder the old-fashioned way.
"Many of these cold cases are solved because people come forward and say, 'I know something,'" said Delker, "and recently, people have been coming forward and some of the information that they've been providing has, in fact, been valid, reliable information."
One of the most important pieces of the puzzle were new clues that began to point to a man who lived near the Gloddys.
"Ed Dukette lived in an apartment above the Gloddy family home," said Shamsak. "He had lived there with his wife and young child, and occasionally Kathy or one of the sisters would be asked to babysit."
The arrangement ended, Karen Gloddy said, when Dukette tried to molest her.
"His wife had left and I was babysitting, and [he] carried me to his bed and he tried to sexually molest me, but I was able to get away before he could do anything," said Gloddy.
Karen was 13 at the time. She never told anyone about the alleged assault until 1983, when the investigation was temporarily reopened and Dukette's name came up.
"We didn't know his background 'til years down the road, what a wicked man he was," said Karen Gloddy.
Authorities discovered that Dukette had been in California prior to Kathy's murder -- and that he was wanted for a terrible crime. Dukette was accused in California of imprisoning and raping a young girl after luring her with a babysitting job, Delker said.
"Once she arrived at the apartment, there was no babysitting job," he said. "Instead, over the course of more than a day, [Dukette] kept her confined at that apartment, physically abused her and raped her repeatedly over the course of that time and then, ultimately, she was allowed to leave. ... She reported that to her mother and ultimately to the police."
With a warrant out for his arrest, Dukette fled California for New Hampshire, where he arrived just before Kathy was murdered.
Shamshak said no one had connected the dots about Dukette. New Hampshire police at the time had no knowledge of the California warrant and were unsure of Dukette's whereabouts at the time of Kathy's murder.
State officials now say there wasn't enough evidence to make an arrest, there were a number of suspects who police were pursuing and they believed that others could have been involved.
Then, three years ago, a big break came from an unexpected corner.
In March 2006, a man walked into the Dixie County Police Department in Florida and spoke with Officer Dean Miller.
"He said, 'I think I need to be arrested, because I killed somebody,'" Miller recalled.
The man said his name was Ed Dukette. He described the Kathy Gloddy case -- but his jumble of recollections did not quite match the facts. New Hampshire detectives traveled to Florida to question the suspect.
"He then backtracked on some of the statements he said by claiming that the admissions to being involved in this murder were a result of medication," said Delker.
Specifically, Dukette told police medication from a recent spinal tap had made him confused.