At the time the woman's boyfriend reportedly confessed to the murder, but then vanished.
"A phone call, whatever can help lead to his capture," said Ramirez's sister Elizabeth.
David Weir has been on the run from police for five years. The 29-year-old is the prime murder suspect in the 2006 shooting death of his girlfriend, 22-year-old Victoria Ramirez.
Homicide detectives say Weir vanished after apparently confessing to family and friends he killed Ramirez in the home the two shared in Sherman Oaks.
Investigators say they believe Weir murdered Ramirez because she had decided to end their five year relationship. Family members of the victim and detectives are not giving up hope Weir will be caught.
"It's what we pray for every night and we hope to wake up and get the phone call just saying we found him," said Ramirez's sister Elizabeth. "For those who are helping him I would just like for you guys when you go to sleep at night to think how we feel as a family."
"I don't care if it's a year from now, five years, 10 years from now," said LAPD Det. James Mutall. "We are going to continue to pursue David Weir. It also has to be very clear to the person aiding or abetting him, person or persons wherever they may be, we are going to find you as well you are going to jail."
The Los Angeles City Council is offering a $50,000 reward for the capture and conviction of the murderer but that's not all.
"We're grateful to know that an anonymous phone call was received this morning from a donor willing to match the city's reward just to get justice for our sister," said Ramirez's sister Elizabeth.
"That one phone call would make our lives so much better," said Ramirez's sister Cynthia. "It would make the family so much happier, bring peace and comfort."
Anyone with information on the whereabouts of Weir should call L.A. Police Van Nuys Division detectives at 818-374-0010.