@Legion-114A direct connection? What's that supposed to mean?
And how could a vampire be born? They're not biologically alive, and as such can't give birth to children (or impregnate women.) Good thing too, or Gabriel would have knocked up half the planet.
In all sincerity, I think you're trying to make Alucard a massive thing. But he's only about 400, maybe 450 years old. That means he doesn't even fulfill the requirements to be a proper Oldblood.
Here's my suggestion. What if the reason Alucard was locked up wasn't because he had some kind of direct connection to Satan (because he doesn't currently canonically exist in this universe, and neither do the rest of the Biblical caste), but rather because he was the vampire equivelant of a prodigy? At his age he should just be a fairly powerful vamp, but not on Oldblood level. But he has powers far beyond what he should, and was able to match or even surpass other Oldbloods. As such, he was locked up by the other vamps in order to limit him. You could even state they framed him for a certain crime to excuse their decision, which would also explain why they didn't just kill him.