While police have said they don't believe the murder was a random act, they've said little else, and there have been no arrests.
Hedgepeth's sister told ABC11 Friday her family is trying to uphold the literal meaning of her name: Faith - believing that Chapel Hill police are closing in on her killer.
"A feeling of peace, it's God telling us that they're going to make an arrest soon. I feel like they know who it is. They just want to have all their facts straight for a solid case," explained Rolanda Hedgepeth.
While police have been tightlipped about their investigation - sharing few clues with her family or the public - relatives told ABC11 the student suffered blunt force trauma to her head during a violent attack - an attack that appeared to be very personal.
The lack of an arrest worries some on the UNC campus.
"I do understand police not wanting to release any information that would interfere with the investigation, but I can't blame people for being uneasy," offered one student.
While Faith's family waits for answers, they say they're focusing on the one who made them smile.
"She was a beautiful person. She was very, very bubbly - very perky - and ... I love her, I still love her," said Rolanda.