Yeah...
Are we talking about the bloodlines as presented in the Unearthed Arcana? If so, please note that every single one of those is tied to a specific race. There is nothing there that denotes class. Sure, some races may be better suited toward specific classes, but that is not the focus of a bloodline.
In Pathfinder, Sorcerers have a bloodline, which ties into their ancestry and helps define their abilities - but I don't think that is what you are asking.
So, in looking at the example you provided, I have to say that you are indeed looking at the first option... And, I would have to say that there is nothing like what you are looking for in official published materials (given that your example is not actually a racial bloodline but a hybrid - which is not the spirit of bloodlines as presented in the UA).
If this is something you really really want/need, then I think you will have to roll your own. (You might find something in a 3rd party source out there, but I don't recall anyone actually doing anything with bloodlines.)