That happens :P
In this case I think you should take it easy with that so-called "paranoia"...some girls can be incessant chatterboxes, others aren't. Just take her out on a date, to the movies or the park, etc. And make sure you have fun, so you can have something cool to talk about :P
And the last but most basic tip is: get to know her better! find about something you two have in common, to get at least something that you two can talk about.