Look. Did he kind of impulsively run over to drag Hickey home right at the end of the town meeting?

Yes. For many reasons, but yes, he did. Billy really didn't want to linger in that place for even a moment longer than absolutely necessarily, and he only realises much later - by the time he's already home and has spoken with Hickey about everything - that he forgot to actually say anything to Chloe after it all was over. Usually that sort of thing wouldn't massively bother Billy, but.. It gnaws at him this time. Chloe has helped him out just a few too many times for her not not want to reciprocate that, not to mention that he did drag her over to the meeting in the first place.

So the moment everything with Hickey is settled, he makes his way over towards Chloe's house. It didn't seem likely that she'd linger at the town meeting venue anyway, so he's hoping she made her way home already. It's sure going to be a long search for her through town otherwise.

There's a polite little knock on the door, and to make sure Chloe knows it's him and not some random other person, he adds: "Miss Frazer..? It's me."