I seem to be related to Menzies through his grandmother Elizabeth Band.
My 2xgreat grandfather is Thomas Band and his Victorian death certificate also lists his parents as Robert Band and Isabella Cunningham and his birth place as Fife, which would seem to make him Elizabeth's brother.
I have been searching for records and I have found the birth records of what appear to be siblings for Elizabeth, although I can't find Thomas. I can find him in the census though.
I have also found ship records. It seems that both Robert Band and his family and his brother David Band and family emigrated to Australia (and some of Robert's children travelled with David), so I'm still trying to place the children and confirm that the information is correct.
I would appreciate help trying to pin down Elizabeth's siblings. I'm 99% they are related, but without the birth information it isn't 100%.