(CNN) -- Arrest warrants have been issued for a southern California couple who may have fled to Mexico after authorities found a dead child in their home, a police spokeswoman told CNN Tuesday.
The Bakersfield Police Department found a 3-year-old girl dead and a 4-year-old boy sleeping in the home Sunday morning after responding to a call from the children's aunt.
Police want to question Alberto Garcia, 26, and Carla Garcia, 26, about the child's death and check on the well-being of three other children believed to be accompanying them.
"We believe they are in a border town," said Sgt. Mary DeGeare with the Bakersfield Police Department.
Police said the Garcias were trying to adopt the young children, who were the natural children of Carla Garcia's sister.
Police have issued murder and felony child endangerment warrants and are still working on obtaining an unlawful flight warrant through the FBI, DeGeare said.
"We want to take them into custody for the murder, but we are more concerned with the children's welfare," she added.
The three children believed to still be with the couple have been identified as Carlos Joe Solvalvarro, 9; Crystal Garcia, 5; and Alberto Garcia Jr., 4. Police corrected earlier statements made to CNN that Carlos Joe Solvalvarro, who is Carla Garcia's child with another man, was 10.
Carlos Solvalvarro, the younger Solvalvarro's father, is worried about the safety of his son while he's with his mother and stepfather. Solvalvarro told CNN affiliate KBAK that he's had tiffs with the stepfather in the past and his ex-wife is short-tempered.
"The father just likes to pick on smaller people than him," Solvalvarro told KBAK.
The family drives a white 1997 Ford Expedition. Bakersfield police ask anyone with information about the family's whereabouts to call them at 661-327-7111.
CNN's Rick Martin contributed to this report.