Despite having majority of the play, the hosts went behind when Luton converted with a header from a corner.
Grace Birchall levelled the score in the 37th minute before adding a second in added time of the first half.
Birchall completed her hattrick early in the second half to give Wroxham a 3-1 lead. However, the visitors, having been reduced to 10 players following a red card reduced the deficit to set up a tense finish
Lauren Bullard scored in added time to ensure the hosts secured all three points in an entertaining game