Ross Thomson, a prominent Leave campaigner in Scotland, condemned Mrs May's Chequers plan, which seeks to maintain close ties with the EU.
The Prime Minister has now since filled the vacant positions but the impact of the swift departures may have more lasting consequences on her place in Downing Street.
The Kremlin said it hoped for an improvement in ties following the departure of Johnson, who had angered Moscow with his vociferous accusations over the poisoning with a nerve agent of a Russian spy on English soil in March.
"The government now has a song to sing", he said.
Boris Johnson might be the most likely challenger, but has not exactly covered himself in glory considering his undiplomatic language about business, declining to make good on his promise to lie down in front of bulldozers to obstruct a third Heathrow runway, and seemingly flip-flopping repeatedly over whether to support May's plan.
He is replaced at Health and Social Care by Culture Secretary Matt Hancock, who will in turn be succeeded by Attorney General Jeremy Wright.
"It's time for her & her party to put country before party & go".
Cardi B gives birth to daughter Kulture Kiari Cephus
She captioned the photo with her daughter's name, " Kulture Kiari Cephus ", along with her birthdate, 7/10/18. Cardi B , 25, and Offset , 26, have been together since a chance meeting in NY in February 2017.
While Mr Johnson may have spoken in his usual colourful tones about the death of the Brexit "dream" in his resignation letter on Monday, the situation is swiftly descending into a political nightmare for the Conservative Party.
"Nor do we expect a leadership challenge".
"What Australia wants to see is stability and certainty and we want to continue working with the UK Government on matters of concern to us and that includes a free trade agreement when the time is appropriate".
The Prime Minister was greeted by loud cheers from Tory MPs and shouts of "resign" from the opposition benches as she arrived to deliver a statement in which she said her proposals would deliver "a Brexit that is in our national interest... the right Brexit deal for Britain".
Government unity began to fray within hours.
Both Brexit figureheads quit over the agreement reached by the Cabinet on Britain's terms for leaving the European Union, which ex Foreign Secretary Boris Johnson argued would give Britain the status of a colony.
"It is a vision that respects the result of the referendum (vote to leave), and delivers a principled and practical Brexit", Brexit Secretary Dominic Raab said in the foreword.
Gareth Southgate’s waistcoat set for a place in history
The team that reached that stage in 1966 went on to win the tournament on home soil and Shilton is backing this team to do likewise.
Labour leader Jeremy Corbyn said Mr Johnson and Mr Davis had abandoned a "sinking ship", shattering the "illusion of unity" initially surrounding the Chequers plan. Working out how to keep the now invisible border free of tariffs and customs checks has been a major stumbling block in negotiations.
This is not the final deal, as the detailed talks are yet to take place with the European Union on it. The timetable increasingly looks overly optimistic, and European Union frustration with British division and chaos is growing.
"We're extremely confident in the ability of the United Kingdom to plough through this issue with Brexit and move on", he said.
Now the E.U.is waiting for May's position on whether she wants to follow Brexit hardliners' path of exit or try to maintain a relationship with the European Union despite leaving the organization.
But many eurosceptic MPs are outraged at May's plan, and Davis's resignation letter was scathing.
Brexit minister Steve Baker also left the Government, while Chris Green quit his position as an unpaid parliamentary aide at the Department for Transport. "It's not even an accidental betrayal, it was planned and plotted well in advance", said Conservative lawmaker Andrew Bridgen.
Tropical Storm Chris strengthens along Carolina coast
The government of Dominica said it would shut down its water system and Puerto Rico's governor warned of likely new power outages. However, the storm lost strength throughout the day Saturday and will continue to weaken as it moves west.