Brady's goals came through player-manager Josh Dagul (2), captain marvel James Joseph and Harry Davis.
NWN manager Daniel Hodes told JC Sport: "Our performance was one that typically sums us up - flashes of excellence interspersed with moments of naivety.
"The positives are clear to see, the ability to score lots and come back from behind, but on the negative we are still leaking goals to easily and don't seem to get a full 90-minute performance."
Disappointed Brady boss Josh Dagul told JC Sport: "It was a very entertaining game today with plenty of goals. We went 1-0, 2-1 and 4-2 up, but couldn't kill off the game.
"Credit goes to Neasden who kept fighting back before winning the game in the last minute. It was a great effort from the boys and they should be proud of how they played."
