Monique LaSuer, a late-night hotel auditor in Colorado Springs, was beaten and strangled to death in 2000. Her killer was never found.
But if a Democratic bill is successful, the investigation into her murder could gain new life.
The bill, introduced in the state House of Representatives on Monday, would abolish the state's death penalty and direct an estimated $4 million in savings to cold-case investigations.
"I just wish the representatives knew that these murderers are out there living in their neighborhoods," said Gail LaSuer, Monique's mother. "Killing one person on death row is nothing if all these other killers are out there."