But Jones did manage a bronze to go with an earlier silver won by cyclist fiance, Rik Waddon.
Jones's team-mate Jim Anderson claimed his second silver and fourth medal of the Games in the 50m backstroke.
Robert Welbourn swam a brilliant 400m freestyle, but had to settle for second behind Brazil's Andre Brasil.
"It was a massive best time so I can't really complain," he said after clocking a new European and British record of 4:07.61 seconds.
Fran Williamson clinched Great Britain's third silver in her women's 50m backstroke final.
Britain's women's basketball team lost 57-38 to China to equal their efforts in Athens four years ago and finish eighth.
In archery, the women's defending recurve champions lost in the quarter-finals, while the men lost to Thailand.
GB pushed hosts China all the way in the men's class 3 table tennis, but lost 3-1 to be edged out of the medals.
Their female counterparts also just missed a bronze medal, losing 3-0 to France in their play-off.
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