Both Mr Goodyear and the second aide to resign this weekend, Doug Davenport, worked for the lobbying firm DCI, the former as its chief executive.
Newsweek magazine revealed on Saturday that DCI was paid more than $300,000 (£150,000) by Burma's military leadership for lobbying work to improve its image in the US.
Offering his resignation as convention coordinator shortly afterwards, Mr Goodyear said he was standing down "so as not to become a distraction in this campaign".
'NOT TO BECOME A DISTRACTION?' Are you kidding me??? I say this NEEDS to be a distraction for the campaign. This is the kind of maverick John McCain is, my friends.
We in America are watching over a hundred thousand human beings die in Burma and John McCain hired people who took money to help make that happen.
So once again, while we discuss the Rev. Wright, flag pins, Hillary not leaving the race, John McCain is getting a free ride, and people ARE dying. The following shows just a few of John's Good friends...