On April 25 I went to the consulate in New York and came home with a shiny new fiance/e visa.
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On May 30, we got married at a gorgeous hotel in the Lake District and had marvelous weather to boot.
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So I'm now a missus and we get to begin the LLR visa process. Thanks to all who answered my many questions (I'm sure there will be more), especially cookie70. I really appreciate all your help.