Fleetwood, who tees off up in Thursday's first round of the USPGA Championship, finished in a tie for 12 at Carnoustie and collected $154,480.
But the funds were transferred to an American man by the name of Thomas Fleetwood instead.
Open organizers pay out their prize money in dollars, but the European Tour distributes it using details in their database.
The American Tommy Fleetwood shared a screenshot showing he had been credited $154,480 by the European Tour. "I emailed them back and I said, 'Well, I plan on sending it back, but you've got to excuse me that I'm not going to send it to this thing you're sending me randomly in email".
Tommy Fleetwood has been one of the hottest golfers of 2018, with five top-10 finishes 14 events played. "He got on to his bank immediately and that's when I realized it must be the other Tommy Fleetwood and worked out it was his Open winnings".
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The elder Fleetwood is now reportedly in the process of returning the money to the World No. 11 Fleetwood, but at least he can now probably say he's received more money as a pro than any of his colleagues.
The "other" Tommy Fleetwood, in St. Louis this week beginning the 100th PGA Championship, said he didn't hold any ill toward the European Tour and was able to smile about the story.
Speaking at Bellerive ahead of the US PGA Championship, Fleetwood told Press Association Sport: "I honestly didn't know anything about it". It would take me over five years to earn that, and that's if I was the best at my job, never mind joint 12th- rubbish Tommy. It's a amusing story.
"I told him he should keep it", Thorner told USA TODAY.