Logan wasn't quite sure how he'd even had a baby. It happened by accident, he slept with a girl, hell he slept with a lot of girls, and nine months later a baby in a box was left on his doorstep at the mansion. How did he know you were his? Easy, the little fangs were visible almost within the first few months.

Logan raised you more like his younger sibling, though he sometimes mentioned that he was actually your father when you got too naughty.

And now you're all grown up (age of choice). Logan is standing with you in the bathroom, you're sitting on the sink and he's fiddling with your tangled hair "Crap, kidbat...how did you get your damn hair so tangled."

Kidbat yeah...the nickname he made up for you when he first found you, he just couldn't pick a name for you so he called you by nickname at first, and when Vana did pick a name for you, the nickname was still there.