Can corporations who have been sued by their stockholders then foist the legal bill to the stockholders?

The answer is: no, not for the time being.

I often wondered this while I was taking Business Organizations (not a popular class, but it was still one I liked nonetheless):  Can a corporation, who has been sued by their stockholders (but the stockholders lost), then turn around and place the legal bill in the hands of the stockholders?

Not right now, according to the Delaware legislature.

Article here.