[Admittedly, it is not entirely out of kindness that England offers. He doesn't wish to leave her with his supplies so he can look on his own, but it seems in poor taste to take all his supplies with him just to search the house.

It is partially because he'd like to help her, though. He was miserable before he found more suitable footwear than his dress shoes.]

It's not any trouble. The house isn't that large, it won't take long to search. Since we're stuck in here all night anyway, we might as well see if there's anything useful to be found.