Macclesfield took the lead early in the first half, but goals from Christian Jolley and Robbie Wilmott and a penalty from Andy Sandell puts Newport in front at half time. Newport 3-1 Macclesfield.
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The Bluebirds boss was sent from the touchline in the 78th minute by referee Steve Martin in the 2-2 draw at Reading.
Swansea's defeat was their joint-heaviest of the season and they remain bottom of the Premier League with 12 points from 17 games.
Winds will ease through the day, with patchy ice where lying snow still remains.