Here is Princess Birgitta wearing the four 'button' tiara, on the right next to her mother Princess Sibylla, in Stockholm Palace in 1960:
http://arkiv.sjobergbild.se/fotoweb/...E11AAC5B72F74F
The tiara was only created a few years earlier, in the late 1950s, from the rosettes originally set in the crown of King Erik XIV. Only much later they were also used as buttons in the first Bernadotte King's gala uniform.
All the King's sisters have worn it at one point, and of course Princess Lilian and CP Victoria later on.