The castle was built hundreds of years ago and had been the seat of Baron Winston's family for at least twenty generations. It was way before the family became one of the earliest vampire families.
According to the story, the Winston family was one of the human families that sided with the ancient vampires of the past during the Great War between the vampires and the werewolves. As a reward, they were granted eternal life and everlasting youth by being reborn as vampires.
The client who bought Aiden's blood was Baron Winston, but he bought it for his grandson who was recently turned into a vampire. A coming-of-age present, so to say.
Vampires did not procreate.
The so-called children and grandchildren were human beings who managed to curry favor with them, in one way or another. In most cases, these were human children who were raised in vampire families before they were officially adopted on the day they were turned.