The empty warehouse contains a phone that isn't connected, and they set up camp. Isn't this obviously a trap? "Let's see if anyone tries to kill us, and work backwards." They find a lot of stolen NASA tech. The Doctor points out that 1969 is hardly the time you'd go for really good space travel junk, but decides that it's because it's totally cool-looking. There's a cute moment where Amy tells the Doctor he's not a "cool" alien, just a regular alien, and the Doctor does all kinds of adorable stuff, and they go looking for the little girl.
Sidebar where River "somehow" figures out what Amy's thinking, which is the obvious thing any of them would be, and in fact are, thinking: "Neutralize the Impossible Astronaut in 1969 so it doesn't kill Doctor 1100 in 2011." Problem: Apparently that would be a paradox. Details: Forthcoming. Or not. Time: Can be rewritten. Or not.
There is a network of tunnels beneath the warehouse, and in fact beneath all of America, so River heads down there without further ado to figure some shit out: "Don't worry, I'm quite the screamer. Now there's a spoiler for you!" (River is talking about sex.) Upstairs, Canton worries if he was actually slipped a mickey at the top of the episode, but no. Rory decides to join River down there -- where she's having her own womb/spacetime tummy issues we won't be explaining or revisiting -- and where she immediately forgets having just discovered a whole clutch of Silence.
Since they don't know the shit is hitting the fan all around them, Rory asks River about the "worst day" thing she cryptically said before, and this part is sad -- especially if you ignore the distracting bit where the entire River Song thing is being rewritten right in front of you, invalidating whole swathes of previously established continuity: "When I first met the Doctor, a long, long time ago, he knew all about me. Think about that. Impressionable young girl, and suddenly this man just drops out of the sky [note for later]: He's clever, and mad, and wonderful, and knows every last thing about her. Imagine what that does to a girl."
Rory doesn't have to, because of Amy. Also because of every other Moffat episode and female character.
"Trouble is, it's all back to front. My past is his future. We're travelling in opposite directions. Every time we meet, I know him more, he knows me less. I live for the days when I see him. But I know that every time I do, he'll be one step further away. And the day's coming, when I'll look into that man's eyes -- my Doctor -- and he won't have the faintest idea who I am. And I think it's going to kill me."