The Giants led 18-6 after 21 minutes thanks to tries from Jake Mamo, Jermaine McGillvary and Lee Gaskell and were still four points in front with 10 minutes to go but Trinity finished the stronger side.
A cut-out pass by replacement half-back Sam Williams enabled Jones-Bishop to grab his 14th try of the season that brought his side level and Williams maintained his composure to land the difficult conversion that clinched a fifth successive win and maintained Wakefield’s bid for a top-four spot in the Betfred Super League.
“It was pretty ugly,” Chester said. “We definitely got out of jail.
“We’ve won five on the bounce and the law of averages says you’re going to have a bad performance in one of them.
“Huddersfield deserved something out of that game. They were a lot better than us in a lot of areas. They outplayed us in that first 30 minutes and again in the second half.
“We really struggled in the ruck, we were very sloppy. They were better in the wrestle and left a lot of our guys on the floor. There were a few choice words at half-time and they responded well.
“We showed some real good character to come back and it was a special play from Sammy to put Bish over and then kick the goal
“I can’t ask for more, to come back from two scores down, it was a real gritty performance but we need to be quite a lot better in a lot of areas to get something out of the game (at Wigan) on Monday.
“A win’s a win and we’ll take it, it consolidates our place in the top six.”
Huddersfield remain in the bottom four but coach Rick Stone was heartened by a performance he felt was a distinct improvement on their scrappy win over Catalans Dragons a week earlier.
“We’re pretty disappointed with the result,” Stone said. “The game could have gone either way. The stats are telling us it was a pretty close game in all departments.
“We let in a couple of soft tries but the effort was there. We were a little bit loose defensively in the first half even though we led 18-6. We had a chance to gain ascendancy at that stage and couldn’t quite manage it. If we could have been tidier defensively, we might have got the result.
“There are lots of positives, though. We looked a bit more dangerous offensively. It was a pretty open game and we were more productive than last week.”
After the match Huddersfield confirmed the signing of former St Helens utility player Jordan Turner on a three-and-a-half-year contract from Canberra and Stone says he hopes he will arrive in the country early next week, ready to make his debut in their next match against Warrington on June 4.