I'm perplexed on the idea of also bringing the prescription that's come up. How is that is even possible? I've EITHER got the slip OR the bottle. Not both. When I go to the pharmacy, they take the prescription in order to fill it. Any refills are noted on the bottle. I don't get the slip back.

They would know that the meds are yours because your info is on your bottles. You already have your ID in order to travel. They match (presumably).

In addition to this, consider all the other info that's on the bottle -- Pharmacy name, location and phone number, as well as the prescribing doctor. You are well beyond covered on the verification thing. And really? It wouldn't even get to that (and I'm prone to over-thinking.)