If you read it all together, again without a comma, then it's “each subsequent questioner of each party”. So a party has a questioner--
On May 15th, 2006. See this statement in context.
On May 15th, 2006. See this statement in context.
Liberal
Blair Wilson Liberal West Vancouver—Sunshine Coast—Sea to Sky Country, BC
If you read it all together, again without a comma, then it's “each subsequent questioner of each party”. So a party has a questioner--
See context to find out what was said next.