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Syrup help...pretty please!

I was recently at a fancy restaurant and had a fabulous cocktail. I checked the menu online and it has gin, tonic, soda, cucumber...and..:"rosemary lemon syrup." Any idea of how I might make this syrup.
I'm trying to replicate it for a wee party I'm having next Friday night for the Royal Wedding. Served in china teacups, of course. I will be resplendent in a big hat that looks like meringue.
Any help will greatly help my cheesy fun.

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