I picked this American Girl up to see what they are like in person. It isn't a line I thought I would be interested in but I really like how it looks on my wrist. This one is missing the chain but I think it will stay on without an issue.
I think it might be the "H". There is an ad with a yellow gold filled version as the "I". This one is 10K white gold filled. The case and band are marked Bulova. The case and movement are dated L6.