Another Batting out of Order Question

[justmom]

My question deals with FED rule 7.1.2 EFFECT: The umpire shall declare the batter who should have batted out (not the improper batter). Any other outs on the play stand. All runners who were not declared out must return to the base occupied at the time of the pitch....

What would happen in the following scenario? No outs. Bases loaded. Improper batter (but NOT a batter that would otherwise follow the proper batter in the lineup) hits a single. All runners advance one base. Defense appeals before the next pitch. How do you return the runners to the base occupied at the time of the pitch, since the improper batter has forced all the preceeding runners to advance? (I am thinking specifically of R3 who should be put back on 1st base, but the improper batter is standing there). Is the improper batter removed from the bases so that the other runners can return (because she was not on a base at the time of the pitch)?