Does it have very thin foliage - is that what I see in the background of the first picture?

No foliage is wide. The thin stuff in the background is a bulb of some sort. Hopefully in this pic you can see the foliage better.
{{gwi:342853}}

I found out what it is! It was IDed on the NARGS forum. It is Iris tectorum.
Remy

Here is a link that might be useful: Iris tectorum

If that is the case then it should grow very quickly soon. I have to keep giving some of mine away! To me, the foliage (fans) is the most distinctive part, they grow in almost a semi-circle arrangement.