SteelMaiden, I'm glad you're feeling better now.
I can completely identify with all you've said. I ramble and go off at tangents. If the other person isn't as chatty as me, I feel like I've done all the talking (but that's after the event, so not something I was able to stop, before talking too much). When I'm with an equally chatty person, I'm at my most content. I'm what they call here a 'blether' and will talk to anyone, just not more than one or two at a time.
As for the introvert/extrovert thing. I'm the same, spend a lot of time on my own and need to. I think the definition of introversion will show that you are actually an introvert, because you re-energise, by being on your own. The fact that you're chatty means that you're sociable and doesn't mean you're an extrovert too, although you probably are a bit of both.
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"We act as though comfort and luxury were the chief requirements of life, when all we need to make us really happy is something to be enthusiatic about." Charles Kingsley