Oh she could twist it into something like this couple must have been out looking for a baby. No, I don't believe a word she says either because she's already come up with too many stories. MOO
Based on Elizabeth's initial meeting with TPS your 'twist' would seem like a plausible explanantion to her.
Per TPS
"I looked at that situation and said, 'She doesn't want that baby,'" Smith said, before walking over to Johnson and asking her if she was looking for someone to adopt her child.
http://www.azcentral.com/news/articles/2010/01/05/20100105missingbaby0106.html
Gee, that's the first thing I'd think to say if I met a tired young mom at the airport. I feel just like my kitty with the Rubik's cube.