It took Claire awhile to realize that Dexter was talking to her, she had been lost in thought about everything that had happened to her and her family. She was thinking about Meredith and how she hadn't been able to save her. It was all so much for one teenage girl to have to deal with, but this was Claire's life on practically a daily basis.
Finally she realized someone was speaking to her, so she turned to look at him. "Od---Costa Verde, California." She couldn't even keep her story straight, what would her dad say? Still, there were probably several people here hiding who they were in some form or another and Claire didn't know what they would do if they found out about her, and she didn't want to find out either.
"We moved there, not too long ago. I used to live in Odessa." There, that should do it to cover up what she'd said.