I have a feeling it's a cyperus. They can grow to amazing heights. Here's mine . You can just about see it in the righthand side of the pic. 
If this is the plant you have, Elizabeth, it's really easy to obtain new plants. Just cut off one of the stems and trim the leaves off the ''umberella'' and them trim off the stem so you are left with about an inch . Place in a jar of water and within weeks you'll have a new plant. You will see new roots appearing very quickly. 
If It's a scheffiera it's a little more complicated. I have heard you can propagate by air- layering but I haven't aquired one of those. (yet) 