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Leading the group is the Prime Minister s press secretary, Allegra Stratton, and parliamentary private secretary Trudy Harrison.
The passing on of the throne to eldest males was abolished for the British monarchy in 2011 under a reform which allowed first-born daughters to take the crown.
But peers at the time prevented the reform from applying to them
Among those to throw their support behind the proposal today is Viscount Torrington of the Hereditary Peerage Association.
He told the Times: A survey of our members found the majority in favour. Those who were not didn t want their surname to go but that is solvable .