Alien mother undocumented and having daughter us citizen and other sick daug( non-usa) having ch disease can apply legalization?

Possibly but without more information it is impossible for us to say for sure. You could ask someone more fluent in English to ask the question...

How to file a immigration visa petition for a child who is out of wedlock ?

Either is possible if you are a US citizen. Contact an attorney directly. Usually marrying first is a smoother process.

Got married to US Citizen. Got Green Card. Tried to remove condition and Immigration said he stole someone's identity

Very confusing. Unless they suspect marriage fraud I'm not sure why his history has come up here. You need to contact an immigration attorney...

Married on a visitors visa 11 years ago

Yes.I suggest you contact an immigration attorney directly for this. It seems that as long as your last entry was lawful you should be able to...

Can a F1 student get into trouble by applying for a small job off campus job without having a work permit?

Since you never actually worked it is doubtful you would get into trouble. Just don't make such a mistake again.

My boyfriend recently admitted to me that he is here illegally. I do not want to marry him just so he can gain citizenship.

Whether or not there are options depends on many more minute details than what you are able to provide in an online, general, public site....

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I failed to send my I-751 due financial hardship, mi GC expired on january 9, what should I do?

This is probably not a tragedy. File it ASAP with a detailed explanation and evidence of the economic situation you are referring to. It is always...

Hola quiero saber si califico para el perdon me agarro en la frontera mifracion y tengo un caso de apelacion de asilo politico p

Sera una buena idea de contactar un abogado de inmigración directamente. Buena suerte.

How long does the legalization process take

I'm sorry but there is not nearly sufficient information in your question to answer this meaningfully. For one thing, what is your status? What is...

If someone gets F 1 visa and can not enter to the U.S, Then apply for another F 1 visa, the first reject to coming the U.S is..

This is nearly impossible to answer without knowing the reason(s) for the denial of the F1. Usually, whatever was in the background causing the...