Here is something that I found on Sotheby's site. I think that the brooch has quite unusual design. I wonder if this is a sign of a good relationship between Alix and Onor or just one of those presents the Imperial family "had to" scatter around?:
"A Fabergé moonstone and diamond pin
workmaster August Hollming, St.Petersburg, circa 1900.
Set with two cabochon moonstones with a diamond-set flowerspray in the centre, marked with initials of workmaster and 56 standard This lot contains 1 item(s).
A gift from Empress Alexandra Feodorovna née Princess von Hessen-Darmstadt to Grand Duchess Eleonore von Hessen-Darmstadt und bei Rein née Princess von Solms-Hohensolms-Lich, 1871-1937.
Estimated price 1,000—1,500 GBP
Lot Sold. Hammer Price with Buyer's Premium: 9,400 GBP"
(The brooch was auctioned in May 2002)