I'd ask you point blank if you were running from the law. If so, I'd ask why. If I liked the reason, I'd look left, look right, let you in and tell you how to get far from here in short order. If I didn't like the reason or if I smelled a rat (i.e., you "accidentally in self-defense" killed someone), I would send you packing and probably contact the authorities.
If it turned out that you weren't running from the law, I'd be pretty helpful but, honestly, with a family, I wouldn't let you stay at my house but would help you get decent food and decent shelter (i.e., not the homeless shelter).
And I would ask you not to bleed on my carpet