Noble levelled the scores with a 25-yard strike on 42 minutes after Murray Wallace netted the opener for hosts Huddersfield in the 35th.
Kyle Da Silva romped down the left and pulled the ball back for Noble, who drilled low into the bottom left corner.
Noble’s 56th-minute winner was an audacious 35-yard lob from the right touchline which drew applause from home fans.
Noble is one of the survivors of boss Ricardo Moniz’s revolution at the relegated League Two side.
Gill Swerts, one of 18 summer recruits, was sent off for two yellow cards in five minutes mid-way through the second half.
The first was for a foul on Harry Bunn and the second was for a harsh-looking claim of handball on the edge of the box.
It is the second time County have had a player red-carded this season after Mawouna Amevor went for an early bath in the 2-0 win at Stevenage on Saturday.
Huddersfield took the lead on 34 minutes when Wallace headed in Bunn’s corner when unmarked at the far post.
County keeper Roy Carroll tipped over long range drives from Bunn and Ishmael Miller early on and then parried a 25-yard volley from Nahki Wells on 87 minutes.