Although Australia's proverbial tail wagged for a while, they still face a first-innings deficit of 69 with paceman Archer claiming figures of 6-62.
After a timid start to his innings, Buttler quickly transitioned into white-ball mode as he cleared his front leg to blast six fours and three sixes.
Australia have been fiercely competitive throughout the Ashes and are in a great position to clinch their first Test series win in England in 18 years
Marsh's selection is primarily aimed at reducing the burden on Australia's frontline seamers, who have been at the fore of their bowling charge.
Roy has had a torrid time in the Ashes so far, scoring 110 runs at an average of 13.75
"He's not come under question from anyone making any decisions," Bayliss said
"I was there, I know the truth, they were talking about Chris Rogers who was here four years ago."
England would be willing to bring on a bowling all-rounder in either Sam Curran or Chris Woakes to add depth to their pace attack.
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