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Lilian received the Order in October 1995. There's a picture of her with it here (third photo): Zum Glück bin ich verrückt — The Tiaras of Crown Princess Victoria of Sweden ...
When she received the order is not the important here. But the necklace she received from Latvian President during her state visit to Sweden 2005.
Try this link to see the necklace instead:
LSH | Halssmycke