After Sean McConville's brilliant strike just before the break to give John Coleman's side the lead, Elliot Lee equalised with his tenth of the season on the hour mark. However, Sky Bet League Two's top scorer Billy Kee netted late on as he saw his effort from outside the box nestle in the bottom left corner.
The result sees the Town move off top spot for the first time since November, with Jones' side six points clear of fourth.
He said: "Look it's disappointing in the context of everything. We couldn't do too much about the first, it's a wonderful strike.
"But I thought we dominated for 80, 90 per cent of the game and I thought we had enough chances to have put the game to bed, but when you don't defend properly at the end – it's cost us.
"In terms of performance levels I couldn't really moan too much, we had enough chances. We had a few cleared off the line, we had a penalty shout, the keeper has made an unbelievable save from Jack Stacey and look, I felt we were the better side. They scored two, we scored one. That's the facts.
"Others have slipped up today and it's going to be tense until the end of the season. What we have got to do is try and win games. We tried to win this game today, we made positive changes to try and win the game and then he's shot from 25 yards and it's trickled in the corner.
"We will have a look at it and see if we can do anything better, they've had two opportunities today and their goal lived a far more charmed life than ours, so I can't be too down with the performance, but it's the result I have got to swallow.
"We had that sickening feeling at the end of last year, of losing the game really late. Now we have a little bit more opportunity with ten games to go, so we can use that feeling to motivate us and to move forward. We are a good side, we have been in good form, we've been on top for a majority of the season.
"We have lost it today and credit to Accrington, but there are still ten games to go. We have got a good side and we have just got to make sure we prove that."
