"We want the public to know we're serious about this and get the judge to change his mind," said Basua's best friend, Michelle Speigel.
Investigators said Young was driving drunk when she crashed into Basua's car.
Basua, 26, fought for nearly nine months to recover from her injuries but lost the battle in July.
"It's not fair," said Basua's mother, Mary Santibanez. "That was my baby that she killed. She murdered her."
Young pleaded guilty in December to vehicle manslaughter as part of a plea deal with prosecutors that carries a sentence of a year in jail.