That nursery had been there for a long time. The decorations on the walls left outlines. Perhaps that is where Alex was kept.

The airplane mobile and crib (see picture here
http://www.losttalk.net/attachment.p...7&d=1141309655

... appeared to Claire in her nightmare prior to being taken by Ethan. This fits with other premonition dreams in the show (Locke seeing Boone all bloodied and seeing the beechcraft plane, Claire dreaming about the needle).

The mobile has "Oceanic" logos on the planes.

The music played by the airplane mobile ("catch a falling star and put it in your pocket") was the same music Claire asked the would-be adoptive parents about in the scene in season 1. When she was about to sign the adoption papers, she asked if they would sing that song to the baby, and the adoption mother, said she would. Claire said that her mother used to sing her that song. I don't know if that was coincidence or a connection, but thought it was interesting.

Could Claire herself have been raised by the Others, or by the Dharma initiative or is there a connection to her own mother?

Here's a big open question: Was the seer who sent Claire on flight 815 trying to save Aaron from being given away in Sydney, or was he sending Aaron to the Others? He did warn Claire to raise the baby herself, so I lean toward him trying to save Aaron, or avoid some terrible outcome if others raise him, but still, it's confusing.