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I agree with Kev and Jonny.
However -
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There is a high chance that Stucco this old contains asbestos and it should be removed by a licensed professional.
Thank you so much all of you for the advice. You have me worried now about the potential of asbestos as I have already removed some of it as you can see from the pictures. I will go and get a testing kit before proceeding further, just to be safe.
Take care.