I am experimenting with Android code: I would like to store one value using HTML 5 local storage. For this exercise I\' using a page as simple as this one: http://www.w3s
If your app use multiple webview you will still have troubles : localStorage is not correctly shared accross all webviews.
If you want to share the same data in multiple webviews the only way is to repair it with a java database and a javascript interface.
This page on github shows how to do this.
hope this help!