Stanley remain bottom despite Lee Molyneux scoring a 34-minute hat-trick before Elliott Johnson and Ross Jenkins replied.
Richardson said: "We know Lee can do that and he will get the headlines but everyone played well. We played some fantastic stuff in the first half and we deserved to lead 3-0.
"They scored just before half-time which was a sucker punch. You have no divine right to dominate for 90 minutes and they had to come at us, but we were up for the challenge and it was a deserved win.
"I have always believe in what I do and I believe we will get out of this. You have got to have quality, heart, application and togetherness and we have it in abundance."