I went over to the Fairfax library today and told them that, although I'm not a Fairfax resident, I do live next door and would like a library card for downloading eBooks. And they cheerfully gave me one.
Based on a quick browse, it appears Fairfax has a large collection of eBooks most of which were available; only a few being on hold.
But, when I went to check one out, the system asked me for a password, which I don't have and there is no intuitive way to get one. So, I sent Fairfax Library an eMail asking them how I go about this.
Fingers crossed, I'll get one soon and have access to lots of free books