I'm very confused after looking at them in the garden just now. I have what I think is a mini bearded iris with a bloom stalk. The leaves are about 10" tall. The seedling's leaves are 15.5" tall so it might be a median?
The rhizomes seem different though. Here's a picture of a bearded rhizome.
And here is a picture of the seedling's rhizome.
Are they the same? Here's a pic of one seedling clump.