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Adjustment of status for a child of a US citizen entered on VWP
Your son is a Immediate Relative of a US Citizen, therefore, he is eligible for an Adjustment of Status - AOS based on IR-1.
There is indeed a 90-day rule mentioned by Phoog that affects your case. ...
1
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Adjustment of status for a child of a US citizen entered on VWP
It seems the chances are small, though it might depend on whether there is someone abroad who can take care of the baby.
Most of the information I could find online concerned the deportation of ...
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