Tsonga also made the long trip, but exited in the first round to fellow Frenchman Michael Llodra.
Tsonga advanced when Michael Llodra retired from the all-French match after dropping the first set 7-6 (11-9).
Both players were battling illness, and Tsonga said he was close to withdrawing before Llodra pulled out.
Many teachers at the school have told Ms. Llodra that they don't want to go back, she said.
Patricia Llodra, met privately with Sandy Hook teachers before the panel's public session.
Llodra said he hoped France, who were last in the final in 2002, would go on and win the trophy.
Llodra ovecame 10th seed John Isner 6-4 7-6 (7-5) to end the American's hopes of making it through to London.
Elsewhere, Tomas Berdych , the No. 7 seed looked in good touch as he dispatched France's Michael Llodra 6-2 6-3 6-3.
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In Saturday's semi-finals, Agassi will meet eighth seed Max Mirnyi of Belarus, who beat Michael Llodra of France 6-4, 7-6 (4).
"I have a lot of regard for her, " said Pat Llodra, a Newtown community leader who also met with Kelly and Giffords.
Serve-and-volleyer Llodra's victory over Verdasco, a player ranked 25 places above him in the world, came as more of a shock result.
Elsewhere, Juan Martin Del Potro eased past Colombia's Alejandro Falla 6-2 6-2 to set up a third round clash with France's Michael Llodra.
Michael Llodra and Julien Benneteau beat Fernando Verdasco and Feliciano Lopez 6-1 6-2 6-7 (6-8) 7-6 (7-5) to give France an unassailable 3-0 lead.
Michael Llodra beat Fernando Verdasco 6-7 (5-7), 6-4, 6-3, 7-6 (7-2) after Gael Monfils prevailed 7-6 (7-3), 6-2, 4-6, 5-7, 6-4 against David Ferrer.
"There is an agreed-upon sense of urgency that we need to take action while we have the world's attention, " Llodra said of the meeting.
Del Potro, who lost to world No. 3 Roger Federer in the Rotterdam final last weekend, will face 2010 champion Michael Llodra in Sunday's final.
Serbia's Novak Djokovic , who ended Murray's run in Indian Wells, also went through to the fourth round with a 6-4 6-1 win over Michael Llodra.
Ms. Llodra declined to discuss the conversations she had with the teachers, though she previously had said they were the most opposed to returning to the school.
First Selectwoman Pat Llodra said time was a concern, because officials want to get a funding plan to state lawmakers before the legislative session ends next month.
Monfils, a 6-4 2-6 6-4 6-3 winner against David Nalbandian on Friday, will play Monaco on Sunday, while Llodra takes on Nalbandian in the final dead rubber.
Ms. Llodra said the committee started its work with the assumption that new sites or previously dismissed sites could be raised as the task force weighed its options.
Patricia Llodra, first selectman of Newtown and a task-force member.
Earlier, France's Gilles Simon defeated James Blake of the United States 3-6 6-1 6-4, while Blake's compatriot Robby Ginepri progressed with a 6-4 6-4 victory over France's Michael Llodra.
The 6ft 5in right-hander, who hit the fastest serve of the tournament at 143mph in Thursday's win over 22nd seed Michael Llodra, is now projected to enter the top 100.
Patricia Llodra, Newtown's first selectman and a committee member.
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Malloy, Newtown First Selectman Pat Llodra, state police Capt.
Verdasco raced through his night match with Ivan Sergeyev 6-1 6-2 6-2 and 30th seed Juan Monaco came from two sets behind to edge past Frenchman Michael Llodra 3-6 3-6 7-6 6-1 6-3.
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