The answer could be

>! ESTER

Which I believe would mean that 

>! Your wife has chosen a name for the baby.

For the reason that

>! The first of these Tuesdays is the `11`th tuesday of the year; the second is the `25`th, and so on resulting in the sequence: $$11 25 26 37 50$$
>!If you set $$1=A, 2=B,\ldots, 26=Z,\qquad 27=A, 28=B,\ldots$$ this gives the word $$KYZKX$$
>!which after a $-6$ Caesar shift gives $ESTER$.