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Indeed, Stoker never went to Romania but apparently saw an engraving of Bran castle and used it as inspiration for the castle, and pinched the name for the character.
The history of Vlad and surrounding areas are well worth a bit of wikipedia-ing while waiting for some dots to update.
@Señor_Bear : I'm not sure, I thought they only get you if you invite them into your house/humble abode/bivvy bag. Bears on the other hand...
Note that there is controversy about whether Stoker modelled the character on Vlad the Impaler:
https://en.wikipedia.org/wiki/Dracula
I suspect it would have been more of a case of nicking the name, which is definitely one of the reasons why the myth has taken hold in this way.
Apparently, Romanians were bemused when Western tourists started to turn up looking for Dracula's castle, but they have gamely accommodated it as a largely invented tourist industry.