Multisite Recent Posts Plugin

I am working on a network related posts widget plugin and am trying to figure out how to make a drop-down list of the blogs available in the network that allows a user to choose which blog to display recent posts from.

I was able to actually create the list of blogs and achieve this purpose, however, the chosen blog doesn’t stay selected after saving. It does indeed pull posts from the previously chosen blog, and will unless the “Save” button is pressed on the widget itself.

Is there a way to make the chosen blog stay selected in the list when the list options are auto generated using the get_blog_list( 0, 'all' ); function?