The commemorative ceremony delayed the women's singles match by more than an hour.
The three men faced off against each other in singles matches until one man had scored two wins, eliminating himself from the match.
Jones, 28, played only three singles matches in 1992, losing two, as his ranking fell from 230 to 447.
Woods won his singles match, one of only three Americans to do so that day.
On day three, the international team won 8 singles matches to 4, for a final margin of 16 to 8.
"John was told he needed 24 hours of rest if he wanted to be ready for his singles match," Palmieri said.
The match ended at 4-1 after the teams split singles matches today.
After the four singles matches, the score was tied at 2 all.
Henin won both her singles matches to help Belgium win the tie 5-0.
The competition concluded with twelve singles matches on the final day.