A small-town female cop has been named a person of interest in a decades-old cold case involving a classmate’s hit-and-run death — years after she showed up at his funeral and hugged grieving relatives.

Megan Potter, a detective with the Four Oaks Police Department in North Carolina, was recently questioned by investigators as part of the long-running probe into 16-year-old Josh Davis’s death in Garner in 2004, the Daily Mail reported .

Davis’s mom, Judy Creech, said the news left her rattled — given that Potter was among the mourners at her son’s funeral.

16-yea-old Joshua Davis (aka Josh Davis) was killed in a hit-and-run in the residential neighborhood of Garner, North Carolina on January 6, 2004. NCSBI

“When I found that out, that was a big catch of my breath. I really could not get over that,” Creech told WRAL .

“They were friends.”

Davis was killed while walking in his neighborhood with a friend the night of Jan.…