A close fought game had seen Andy Warrington the busier keeper and Spireites also had a Jamie Lowry effort ruled out for offside.
Millers boss Mark Robins said: 'I just thought we switched off at the end and failed to deal with the cross into the box. I think Chesterfield used the ball much better in the terrible conditions. Yes, I am disappointed but I have no complaints about the final score.'
Chesterfield: Carson, Downes, Page, Austin, Goodall, Lowry (Bowery 74), Niven, Kerry, Winter, Ward, Currie.
Subs Not Used: Lee, Picken, Robertson, Harsley.
Booked: Winter.
Goal: Goodall 90.
Rotherham: Warrington, Lynch, Sharps (Cummins 46), Fenton (Green 86), Nicholas, Danny Harrison, Mills, Hudson, Burchill, Taylor (Rhodes 78), Reid.
Subs Not Used: Cann, Broughton.
Booked: Lynch, Hudson, Fenton, Nicholas, Rhodes.
Att: 4,951
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