Not really
The baby will have US citizenship.
As far as I know the baby will receive automactic citizenship although the parent will not. The parent thus can go thru the steps for receiving their own citizenship.
By getting a full pardon of the crime
Only way is through marriage. Child born in the US is a citizen already. Child can request residency for mother at the age of 21.
Most European countries do not give babies citizenship because they were born there. They usually give citizenship to a baby because of blood.
Teapots
The undocumented mother will be deported if detained. However, the baby that was born in the US will get birthright US citizenship. This method of delivering thier babies in the US so that the kids s will get US citizenship is called 'anchor baby' system.
Your question doesn't make much sense. If you are a citizen you don't have to "gain citizenship" you already have it. That said, if you are a non-citizen living in the United States of America and have lived there for Five (5) years you can apply for citizenship.
Whatever you can get... The good news is that if your baby was born in the USA - it will have US citizenship...
yeah it is rally interesting
That would give the baby dual citizenship, check with you US cor Australian consulate,
No. Not even marriage to the father grants gives you citizenship. You have to apply for naturalization.