Kyle Storer put Nuneaton ahead in the 43rd minute and Justin Marsden added a second in the 73rd minute.
Former City youngster Callum Burgess scored an own goal in Hinckley United's 3-0 defeat at Boston United.
In the Southern League Central Division, Atherstone United drew 3-3 with Uxbridge at Sheepy Road. Crawford scored in the 24 and 48th minute after Waite had hit the second in the 47th minute.
Bedworth United drew 0-0 with Leighton Town at The Oval whilst Rugby Town went down to 2-0 home defeat to Aylesbury.
Stratford Town beat Ellesmere Rangers 4-1 in a Midland Alliance fixture.