It seemed like the shared name had finally broken the ice.
Now I'm wondering if this was a reference to the Martha situation in Batman vs Superman

Surely, even if he hadn’t had feelings for her, which he’d heartbreakingly claimed after the non-wedding, surely he might change his mind if he, too, had time to get used to the idea? But with all the chaos of their lives, it never seemed like the right moment to broach the subject.
It would be really nice if she found the time during this trip to bring that up... I also like Lois's uncertainty here, when she considers the possibility that Clark was actually telling the truth about having lied (hmm that sounded a bit confusing) in the park. And now it seems like she wants (or wishes she could) convince him that they could make it work.
Lois fighting for her daily dose of air conditioning was very funny. And I loved that Clark caught her looking at him
