Currently the Queen is the UK’s head of state but Republicans are campaigning for her to be replaced by an elected alternative. A major YouGov survey found just one percent of Britons would back Ms Sturgeon for the position, the same figure for Mr Morgan, Jeremy Clarkson and Joanna Lumley.
Meanwhile Prince William is the most popular figure, with 12 percent of the public saying they would vote for him to be head of state.
This is followed by David Attenborough, the Queen and Boris Johnson on twelve, nine and four percent of the vote respectively.
Labour chief Sir Keir Starmer would be backed by one percent of the country, including just two percent of Labour voters, putting him behind former leader Jeremy Corbyn.
Prince Charles and Prince Harry also make the list with three percent and two percent support each.
Two other royals make the list, the Duchess of Cambridge and Princess Anne, but both only have the backing of one percent.
Nigel Farage received a backing of two percent.
However if the monarchy is abolished 14 percent they would prefer “nobody” as head-of-state, a higher figure than for any individual candidate.
An Opinium poll for Sky News suggests the SNP may fail to get a majority in May’s Scottish parliament elections.
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However Boris Johnson has vowed to block any second vote arguing the question was settled by the 2014 referendum.
In 2014 Scots voted to remain part of Britain by 55 percent of the vote to 45 percent.
Before the poll leading SNP figures indicated it would be a “once in a generation” decision.
The Opinium poll found 51 percent of Scots would back independence whilst 49 percent want to remain part of the UK.
However a separate poll commissioned by Scotland in Union concluded 57 percent of Scots would vote to “Remain” part of Britain.
Responding to the poll, Tory leader in Scottish Parliament Ruth Davidson tweeted: “By my count, that’s the sixth poll in a row showing majority support for staying in the UK.”
Earlier this month Anas Sarwar was announced as the new leader of the Scottish Labour party.
He has announced plans to stand against Ms Sturgeon in her Glasgow Southside constituency in May.
YouGov surveyed 1,236 GB adults, excluding those who answered ‘don’t know’, between March 10-11.