If I'm not mistaken, she did have her own show at one time. It was on MSNBC so there were very few viewers - not because of Laura, however. I think she had a co-host, but I can't remember who it was. I only watched it a few times, but she was good even then. Her radio show has only made her better!
I've heard her refer to that on her radio show (but I forgot about it). You're right, if she was on PMSNBC, more people were watch airport radar and sonograms.
I like the idea of her replacing Sheppy Smith or Greta Van Tabloid.