First and foremost, after Logan caught William with Dolores, he reminded his soon-to-be brother-in-law that he actually does have a fiancée living at home.
For a while, Westworld seemed like a place set in the present but filled with history lessons about people and androids involved with the park’s past.
While some other evidence has seemed to counter this, during “The Well-Tempered Clavier” we got clues confirming that William and Logan are in fact at a version of Westworld from the past.
In that moment, he handed her a picture, a picture that also just happens to be the same image that Dolores’ father found in the dirt at home.