I think you should talk to a lawyer.
what is not clear to me about is your daughter's eligibility to LPR.
Reading the words from 8 CFR 211.1, "child born during the temporary visit of a mother who is a lawful permanent resident alien", a mother(your wife) must be a LPR to make a daughtler eligible to visa waiver.
I'm not sure if 211.1 is applied exactly as it's described and also as realcanadian said it will be CP process which is not exactly the case with 211.1(Visa waiver), you had better confirm with professionals.
May be CP might be different for 2 years-old rule, but I remember I read the thread that someone applied for CP through family base, and kids younger than 2 year old got immigrant visa, but the eldest kid who was 3 or so years old could not get it.
Edit: OK, I found the thread.. It was not immigrant visa, but SB-1 returning visa. But the point is 2 kids got visa, but eldest who was 3 did not.
http://www.immigrationportal.com/showthread.php?t=242584&highlight=daughter
Talk to a lawyer ASAP.
8 CFR 211.1(b)
(b) Waivers . (1) A waiver of the visa required in paragraph (a) of this section shall be granted without fee or application by the district director, upon presentation of the child's birth certificate, to a child born subsequent to the issuance of an immigrant visa to his or her accompanying parent who applies for admission during the validity of such a visa; or a child born during the temporary visit abroad of
a mother who is a lawful permanent resident alien, or a national, of the United States, provided that the child 's application for admission to the United States is made within 2 years of birth, the child is accompanied by the parent who is applying for readmission as a permanent resident upon the first return of the parent to the United States after the birth of the child, and the accompanying parent is found to be admissible to the United States.