Maria Caulfield and Ben Bradley quit in protest at Theresa May’s Chequers Brexit compromise plan.
The Conservative peer was the last surviving member of Churchill’s 1950s government.
Theresa May warns her party it must unite after a string of resignations over Brexit forced a reshuffle.
The US President says it is “up to the people, not up to me” whether Theresa May stays in office.
Voters in Leave-voting Ramsgate are asked what they think about the handling of the UK’s exit from the EU.