Well I like Teagyn as a middle name, but you may not like the "yn" sounds repeating from first and middle names (irelYN teagYN).
I like Kathleen as a middle name because its Irish and kinda fits with "Irelyn"... although if it was me personally I'd pick the actual Irish form of Kathleen which is Caitlin... but again, you would have that same "lyn" sound being repeated (IreLYN CaitLIN)... I really like Colleen as a middle name though. Its Irish as well and personally I like it better than Kathleen.
Ann and Danielle as middle names are too plain sounding to me... they're so common. My mom's middle name is Ann, lol.
Qynn is cool (is it "Kinn" or "Quinn"?), but again, having that same problem as before with the repeating sound "YN".
Joelle is cute. Irelyn Joelle has a nice ring to it. My fave is still Irelyn Colleen, but Joelle is still nice.
I'm not a big fan of Bae, but I can see it fitting.
I've always loved the name Evelyn, and if you wanted that as a middle name you could shorten it to Eve. Irelyn Eve is very pretty. I guess you could do the same with Teagyn and make it Irelyn Teage (or something similar)... not as pretty as Eve, but still works.
You could also try two middle names... a friend I grew up with had the name Krystal Faye Jayne. My husband and I are doing that with our first son (if we have one) his name will be Seamus Padraig Scott Dhabolt (Dhabolt is our last name... Seamus is "Shay-mus" and Padraig is "Patrick" Scott is my maiden name). So two middle names can work as well.
In the end, my absolute fave is Irelyn Colleen... but I also like Irelyn Kathleen, Irelyn Joelle, and Irelyn Eve.
Good luck!
