I have Lady Friend, and unless your camera's color is way off, yours is not it.
Here is a link to the database, showing lots of pictures of Lady Friend if you scroll down to see them.
Tall Bearded Iris (Iris 'Lady Friend') . It is not brownish at all, unlike most "red" irises.
Nor do I think that it is Gotham City, because almost all photos of that show a white and violet blaze below the beard. Yours does not have that.
