Bearded iris are very hard to name unless there is a distinctly different marking or color.
I have been growing them for years and still get fooled by some.
From your pics, your iris are not noticeably different to many I see. You may just have to resign yourself to having a few noids. .
Your white iris look to me like one of the older herittage ones.
There is a similar white iris which grows around my area that can be very invasive if left alone to multiply.