There's another American lady living in my area. Which is actually pretty strange, given how tiny & remote we are.
The weird thing, though, is that even though we see each other at least once a week in the shop, and we've shared brief, weather-related chat, we've never actually 'met.' She's never introduced herself (although I know fine well who she is, where she's from and what she's doing here, because she was interviewed on the Island Parish programme last year), and I've never introduced myself either.
I guess at first, I was shy, and figured I'd let her make the first move, if she wanted to. Plus, my mother-in-law is almost always with me, which makes things more awkward, because although I'm sure they know who each other are, I don't think they've ever had much contact (she's the priests' housekeeper/secretary, and my MIL is very Protestant, and, sadly, that actually matters here).
Now that I'm more settled and confident, though, it just seems really awkward. Like, 'yes, I've been noting your presence for the past year, and smiling/chatting with you, but I've never actually bothered to get to know you, and neither have you!' Ridiculous, I know! But I really feel like, at this point, I'll just wait until someone inevitably introduces us. This may take years.