Board Thread:TV Show Discussion/@comment-76.93.183.36-20160717093740

In the books, Robert's grandmother is Rhaelle Targaryen, who is part of a generation of Targaryens along with Jaehaerys II that were removed from show canon for simplicity. See: Link

So where does the Baratheon family tie come in? Are their connection to the Targaryens soly based on Orys Baratheon, the founder of the House and rumored bastard half-brother of Aegon I. In the history and lore video for season 1, Robert points this out saying that he had a bit of the dragons blood in him as well. 