Too young I'm afraid. This link includes all our FA cup games and results;
http://www.fchd.info/NOTTSCO.HTM
So our record against non-league teams in the 21st Century is;
2017/18 - Oxford City (H) ? ?-? - 2nd Round
2015/16 - Salford City (A) L 2-0 - 1st Round
2011/12 - Sutton United (A) W 2-0 - 2nd Round
2010/11 - Gateshead (H) W 2-0 - 1st Round
2009/10 - Forest Green Rovers (H) W 2-1 - 3rd Round
2008/09 - Kettering Town (H) L 2-1 - 2nd Round Replay
2008/09 - Kettering Town (A) D 2-2 - 2nd Round
2008/09 - Sutton United (A) W 1-0 - 1st Round
2007/08 - Havant & Waterlooville (H) L 1-0 - 2nd Round
2007/08 - Histon (H) W 3-0 - 1st Round
2004/05 - Woking (H) W 2-0 - 1st Round
2003/04 - Gravesend & Northfleet (A) W 2-0 - 2nd Round
2003/04 - Shildon (H) W 7-2 - 1st Round
2002/03 - Southport (A) L 4-2 - 1st Round
2000/01 - Gravesend & Northfleet (A) W 2-1 - 1st Round