On May 15, the Texas House defeated SJR 13, which would have asked the voters in November 2013 if they wish to impose any term limits on the statewide executive offices. Most Democrats voted “yes” and most Republicans voted “no”. The term limits would have prohibited serving more than two consecutive terms. Thanks to Jim Riley for this news.
So otherwise Democrats must have a hard time getting their candidates for governor elected. The last candidate to be elected, I think was Ann Richards, from the top of my mind.