OK Johnny, Its an interesting mystery, so lets look at the clues from your photos.
"Latch with door open" - I see what appears to be a flat section in the shaft. This indicates to me that it would function in the same way a pulley wheel is attached to a motor shaft to keep it from spinning freely on the shaft. So this may mean that a part (latch arm) is missing that would fit here.
"metal lip on stove body" - That screw must do something. Looks like it might be an adjustable tensioner for the missing latch?
"Latch and metal lip as seen from the back when door is closed" - That circular wear mark on the flange appears to match the washer indicating that its either missing one or the one in the photo is in the wrong location.
- The hole in the end of the shaft has me wondering what that is for.
- The flange with the half circle in it looks like it is adjustable by the slots where those screws that hold it in place to the stove body.
No definite answers, but possibly may lead to a solution for you.
EDIT - This kit is similar to what most searches come up with. Maybe not the right one, but the spring might be another missing piece.
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