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Since this job offer most likely does not require immigrant intent, the H-2B would really be the only visa available.
For an H-2B worker visa, it is expensive and difficult to get because the employer would have to go through an expensive process called a Labor Certification where the position is advertised in the local media, the employer must receive all resumes and eliminate all candidates for valid reasons, not just because they have a job for her. This is to prove that she would not be taking a job away from a U.S. worker. Here is a link:
Also, because they are used up for this year, the employer will need to apply on April 1, 2016 to start working on October 1, 2016 or later. Here is a link in regards ***** ***** H-2B cap
So unfortunately, she cannot stay. She must leave on time and apply to come back at a later time.
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