I don't even know what the flower is called so it makes it hard to find a tutorial. I am not sure how to attach a picture but here is a link to a tinkerbell cake. I want to make the purple flower that looks like some type of lily.

http://www.google.ca/m/imgres?gl=ca&source=mog&q=tinkerbell+house&start=0&site=images&imgid=ANd9GcQfxJbswm5EYS7CXSWB25iVQ4AHr7IXlKmxgk6moOd0XfoMA4NDpJxauwg&imgsz=408340&imgurl=http://farm3.static.flickr.com/2450/4091549928_cdd2d1c08b_o.jpg&imgrefurl=http://www.popocreation.com/2009/11/tinkerbell-house-cake-for-aqmarina.html&ht=922&wd=691&tbnh=147&tbnw=110&ei=mDi5TrDdL4uSMvCjAQ&ved=0CAkQ9QEwAA

Any ideas on what it is or how to make it?

I would probably try a variance of these two for it.

The first one if you can shape the petals more long and pointed. Or the second one and use a larger cutter in the shape you need.

Technique for royal icing lily:
http://www.wilton.com/technique/Lily