Bianca was last seen on April 7, 1995 in Baytown, Texas. She was abducted by her non-custodial father, Juan Antonio Lozano Jr. A photograph and vital statistics for Juan are posted below this case summary. He picked up Bianca from the home of her mother, Deana Ann Hebert (sometimes referred to as Deana Ann Lozano), for what was supposed to be a weekend visit, and never returned her. A Federal Bureau of Investigation (FBI) warrant for unlawful flight to avoid prosecution was issued for him on September 18, 1995, and there is also a warrant for his arrest on charges of interfering with child custody.

Hebert sued Juan's parents, Juan Antonio Lozano Sr. and Blanca Suarez Lozano; and his three siblings, Monica I. Lozano, Eduardo A. "Alex" Lozano, and Sandra Lozano Warner, alleging that they are assisting Juan in hiding the child. They deny helping him and disclaim any knowledge of his whereabouts. Juan Jr. initially went to his parents' home after picking up Bianca for the visitation; this had been agreed upon beforehand by all parties. His parents and his siblings, Alex and Monica, who lived with them, say Juan Jr. and Bianca disappeared without notifying anyone of their plans and then that he called later to say he and Bianca were fine but would not be returning home.

Police say the Lozanos were uncooperative in the investigation into Juan Jr. and Bianca's disappearances. Later, Monica, Alex and and Blanca admitted to removing and destroying missing person posters of Bianca which had been distributed to business owners in the Baytown area. They told the business owners that Hebert that abused Bianca and tried to convince them to take the fliers down. (Juan Jr. had alleged that Hebert abused Bianca but a family court judge found his accustations to be without merit.) In August 1995, Hebert got an injunction ordering the Lozanos not to remove any more posters.

The suits against Juan Sr. and Warner were dismissed for lack of evidence, but Monica, Blanca and Alex were still named. They utilized their Fifth Amendment rights against self-incrimination during the court proceedings. A jury found in favor of Hebert and awarded her $2.2 million, but the verdict was overturned on appeal and a court declared that there was no evidence that any member of the Lozano family had assisted Juan in his flight. Hebert is now remarried, lives in Baytown, Texas, and has another child, but she has never stopped searching for Bianca.

Police believe Juan took Bianca to Latin America, probably Mexico. He is Mexican citizen, and he registered Bianca to be one when she was born. Juan has many extended family members, including his grandmother, living in Monterrey, Mexico. In December 2008, Hebert found evidence that Bianca was enrolled at a school in Monterrey. Her whereabouts are unknown, however, and her case remains unsolved.