Two Different Libraries?

I can access Play Books on my Cellphone just fine. I log in and my collection of hundreds of books are listed and readable.

However, when accessing through a browser, there are only 3 books in my collection, and none of my purchased books show up at all. This is the same whether using "Classic Google Books" or "New Google Books"

Am I doing something wrong here?

Missing something obvious?

Thanks in advance!