The lovely Ellen on Ravelry has kindly let me put up a pic of her Vase Cosy. While her Mum had no need for a Tea Cosy, she still wanted to make one, so the clever one bought a vase and used the pattern for a Vase Cosy.
As Ellen said it hides the stems of the flowers from view, it's just lovely and how's that for Aussie ingenuity. Mum will always have fresh flowers in her room as well.
Thanks so much Ellen for letting me show everyone your photo - Jen.