Rochelle Green had been spotted by a police officer outside Glasgow’s Mitchell Library last October 3.
The 32 year-old went on to hit an elderly stranger on the head.
Green has now been convicted of threatening and abusive behaviour as well as assault following a trial at Glasgow Sheriff Court.
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PC Grace Ross had become aware of Green yelling while dealing with another matter that day.
Fiscal Ross Canning asked the officer if Green shouted anything specific and she replied: “Sieg Heil, like a Nazi chant.”
PC Ross added the woman also raised her arm in “what I can describe as a Nazi salute.”
When asked if she could be mistaken, the officer replied: “No, I have seen it before and she shouted Sieg Heil while she was doing it.”
An elderly man meantime with shopping bags was walking past Green.
PC Ross: “Green continued to shout, walked behind him then prodded him on the back of the head. The man raised his elbow to fend her off.”
PC Liam Coyle added that he saw Green stamp her feet as well as do the Nazi salute.
Green, in her evidence, told the court that she was dancing outside of the library while listening to music on her headphones.
Manjit Ram, defending, asked her if she said the phrase ‘Sieg Heil’ to which she replied: “I did.”
Miss Ram: “What was your intention?”
Green: “It was purely for entertainment value – it seems silly but it is true.”
When asked if she made a gun motion with her fingers, Green replied: “I do not know why I would do such a thing.”
Miss Ram later asked Green if she hit the man and she responded: “I recoil from physical contact.”
Sheriff Vincent Lunny stated when convicting Green that a Nazi salute would “be considered threatening and abusive” as well as “cause fear and alarm.”
The sheriff added: “I am satisfied that you did make a gun gesture to the elderly man and struck him to the head.”
Sentence was deferred pending background reports until next month and Green, now of Preston, Lancashire, remains in custody meantime.