Share DB tables between two blogs on the same WP Multisite installation

You can switch back and forth between blogs on a multisite with switch_to_blog and restore_current_blog.

That should allow you to get anything you’d like and make queries as if you were actually on the other blog.

Check them out:
http://codex.wordpress.org/WPMU_Functions/switch_to_blog
http://codex.wordpress.org/WPMU_Functions/restore_current_blog

We did a lot of this with one of our recent sites.