He wasn't expecting that kind gesture from her. It leaves him struggling with the lump in his throat, trying to keep that poker face on and focus on the immediate task of getting her back to where she needs to be. Thankfully they have arrived where she needs to be. Just in time for him to not try to convince her that everyone still stuck here has already tried to get home without getting anywhere fast.

"Keep the coat," he offers. "I will return for it another time." Conveniently giving himself the excuse to revisit her. "Should you decide not to stay, there is a boarding house, the roof of which you can see just peeking up over there," he gestures. Maybe it would jog her memory? He's not very hopeful seeing as she doesn't remember this familiar walk back to her house, but you never know.

"Storms and other bad weather around here shouldn't be weathered alone." And he's not just talking about the strictest interpretation of bad weather.