... and we don't even know what it is called.
Have uploaded a pic here tinypic.com/view.php?pic=w859uq&s=5 (hope this works). The stem is like a succulent? and grows very tall vertically with the leaves dropping off as a new 'layer' appears at the crown (like a palm) but the leaves themselves are not succulent.
It is a very precious plant to me as it was a wedding present from a close friend who has since died. She didn't tell me the correct name of the plant and I can't find an clues on-line.
I don't know what to do. Can I root the broken stem somehow? Any identification or advice gratefully received.