Everyone has to take care for him(her)self in US. Only a child has to be token cared by his parrent.
If her status is legal or illegal has nothing to do with you or any impact to you.
But as a nice hu*****and, if she is dependent on you, you may warn her when her status will become a problem.
If you extended H-1, her H-4 can be extended by herself by marriage.
If you filed I-485. she can file I-485 herself with the marriage centificate. Even without your notice at all.
No any signature from you is required. No I-134 is required as someone said.
You can chose to do nothing if you want to. It is your privacy.
If you want to help her, that's different.
If her status is legal or illegal has nothing to do with you or any impact to you.
But as a nice hu*****and, if she is dependent on you, you may warn her when her status will become a problem.
If you extended H-1, her H-4 can be extended by herself by marriage.
If you filed I-485. she can file I-485 herself with the marriage centificate. Even without your notice at all.
No any signature from you is required. No I-134 is required as someone said.
You can chose to do nothing if you want to. It is your privacy.
If you want to help her, that's different.