Police obtain search warrant in case of missing Kansas City baby Lisa Irwin

(CBS/KCTV/AP) KANSAS CITY, Mo. - Police said on Tuesday night they have a warrant to search the family home of missing 11-month-old Lisa Irwin.

Pictures: Missing Kansas City infant

Police said the family is not allowed in the home during the search, reports CBS affiliate KCTV.

Police activity picked up at a search area near the Irwin home on Tuesday. Several detectives searched a wooded area just off the family's street in hopes of a lead in finding baby Lisa, but the search turned up empty. The area searched was one that police said they have searched before but they said their investigation brought them back to the site.

Kansas City police said Tuesday that the parents of the missing baby have not sat down face-to-face with investigators since Oct. 8. This was four days after the couple said someone must have entered their home and taken their baby as the mom and two other children slept.

It has also been 10 days since the couple have answered police questions on "things that we believe only they would know about," Kansas City police spokesman Steve Young said.

Meanwhile, the child's mother, Deborah Bradley, has given television interviews since then, including at least two in which she said she had been drinking the night Lisa disappeared and may have blacked out.

Bradley and the child's father, Jeremy Irwin, said he arrived home from a night shift Oct. 4 to find the front door unlocked. The lights in the house were also on, a window was tampered with and the baby was gone.

Police would also like to talk to Lisa's older brothers who were home the night Lisa went missing.

Bradley told media outlets she was against re-interviewing the boys. But the family's recently hired lawyer, Joe Tacopina, insists everything is still on the table. He also said the family has "nothing to hide."

Complete coverage of Lisa Irwin on Crimesider