Here are those hats I couldn't find yesterday--Megipupu on the left, and Lalatroop on the right. They look great on my twins, Daphne and Waverly.
These dolls are Candy Carnival, which was released in 2005. They are identical in almost every way except for their bangs. Daphne, on the left, has bangs that are noticeably shorter and flatter than Waverly's.