Beat eggs and 2 sticks butter together in large mixing bowl. Beat in sugar, vanilla, and salt. Add flour a cup at a time, mixing with a wooden spoon until well combined. Spray large rimmed cookie sheet or large round-rimmed pizza pan with non-stick cooking spray. Press dough evenly onto cookie sheet or pan, pressing dough to edge of pan.
Peel and seed peaches. Slice peaches and layer on top of dough. Be generous with peaches. Slice remaining stick butter into thin slices and layer on top of peaches. Sprinkle with brown sugar and cinnamon. Bake at 400° degrees for 20 minutes. Turn oven off and let set in warm oven for another 30 minutes. Remove and cool. Slice and serve.
The recipe didn’t specify unsalted butter, so I went with salted and it was fine.