According to Overdrive, if I get an ebook from a participating library, I should be able to get it on up to six devices, as long as I login with the Overdrive ID on each.
So I've checked out a book, and managed to get it without a problem, onto:
Overdrive app on my iPad,
Overdrive app on my Windows 8 PC (the one in the app store).
Then I'm trying to get it onto Adobe Digital Editions on my Mac, and ADE, when reading the .ascm file, says it's linked to another user.
Just to note, I've authorized ADE with my Overdrive login, and I've never used AdobeID directly.
I can also get another book from the same library, download it into ADE just fine, but then the apps (both iOS and Windows 8) refuse to download it, saying it's authorized to a different user.
So apparently, Overdrive apps and ADE with Overdrive login generate different Adobe IDs (although looking in the settings shows the same thing).
What is going on, and how do I solve the issue--i.e. get the same book on Overdrive apps and ADE?