Oh Jess, I'm so sorry, I've played around with it, but I don't think it's possible.
Extending the patterned backdrop isn't too problematic, but masking it plausibly around the hair - it ain't gonna happen, sorry.
Gosh it's stubborn, isn't it?
The best I can suggest is to add a Solid Color layer of pale yellow (maybe sample the side of the barge) and set it to "Color" blend mode, then very patiently paint it on to the worst areas with a low-opacity brush.
No, if it was a perfectly calibrated world it wouldn't be necessary at all, don't you see? The colours you edited on your calibrated screen would be the same colours they see on their calibrated screen. No grey card necessary.
No, I think you can achieve something nice. I'd make the background a radial gradient - pure black at the outside, and very very dark grey in the middle. So that the tonal shift is very subtle.
Both of them will work, you'll just need to spend some very patient time fixing the warm cast.
I'd say that we'll have to abandon the Screen method. The masking method it will have to be.
You really messed up your lighting, didn't you?
The practice doll photo you took the other day was really well lit. The actual baby photo has horrid mixed lighting.