Christine Grahame, the Midlothian South, Tweeddale and Lauderdale MSP, made her surprise announcement during a BBC Newsnight Scotland debate.
“I would like a woman,” she said. “I would go for Annie Lennox. She’s a great humanitarian and does humanitarian work all over the world.
“She’s a sensible person and is not affiliated to any political party. And she has a great voice.”
Her announcement came after the leader of the Yes campaign, former Labour MP Dennis Canavan, insisted the new royal baby should never be king of Scotland. He said that the monarchy should be scrapped through a second referendum if the nationalists win next year’s poll.
His views go against those of First Minister Alex Salmond, who has said that the Queen will be kept as head of state in an independent Scotland.
Opponents said the growing republican sentiment in the Yes campaign shows Mr Salmond’s assurances are “descending into farce”.
I would go for Annie Lennox. She’s a great humanitarian and does humanitarian work all over the world
Christine Grahame
A spokesman for the unionist Better Together campaign said: “Alex Salmond might be trying to kid people that his campaign is in favour of the Queen, but they want nothing to do with the monarchy.
“The nationalists are descending into farce with their hare-brained schemes. They seem to be going out of their way to make sure that they represent the exact opposite of what people want and believe in.”
Tory deputy leader Jackson Carlaw, who also took part in the Newsnight debate, said: “I would prefer if the future of the monarchy was not confused with the issue of Scottish independence.
“Alex Salmond has outlined he would want to keep the monarchy in the event of separation, so we need to know where his Yes campaign stand on all this.”
Annie Lennox was unavailable for comment yesterday.