This won't be the only time I'll post this map, the official and ubiquitous map of Yellowstone Park. It gives you an idea of the scope of the park, and especially driving distances and times. Click to enlarge.
Look to the left edge just above the middle. We came in the West Entrance, from West Yellowstone, MT. It's about 14 miles from the park entrance to Madison Junction.
Digression: a note on the major intersections in the park. When you're sitting in your comfortable chair at home and reading about your upcoming adventure, it's natural to think that, like everywhere else in the civilized world, intersections have businesses and services and rest rooms and stuff. Uh...no. Madison Junction is just the meeting of two roads, although thankfully there's a public restroom nearby. And without putting too fine a point on it, you want to learn where all the public bathrooms are located.
Sandi had done just a ton or research this time, and knew, by consulting her exhaustive compendium "If It's Wednesday, This Must Be Grand Prismatic Spring", Volume Three, Chapter Seven, Page 1481 ("Picnic Areas, Yellowstone Park, graded by 1) scenery, 2) likelihood of seeing animals, 3) proximity to water, and 4) the presence of a porta-potty") that the Nez Perce picnic area, about halfway from Madison Junction to the Upper Geyser Basin, would be a good one. It's not named on the map but is a little bit south and west of the green "Y" in Yellowstone National Park.
Hey, I didn't say we'd be eating gourmet food, unless Caffieine-Free Diet MUG Root beer and taco chips are gourmet.
I occasionally get my picture taken, just to prove I was there.
Every picnic table in the park has this metal warning on it. You learn to eat with an eye to the trees.