Bith your mother and your husband may be able to obtain residence through you. You could petition for your mother. However, it is not clear if the petition would be approved. You mentioned you mom has a felony. Some convictions make a person inadmissible. This means that even the petition filed for is approved, she would not be given a visa. It does not matter how long ago the crime happened. More specific information is needed about her conviction to make an assessment.
You can petition for your husband. Unfortunately, he may have to return to Mexico to obtain his green card depending upon his manner of entry. If he entered the country without inspection, he cannot adjust his status to lawful permanent resident in the United States. He would need to depart the country and obtain an immigrant visa abroad. You can minimize the delays and risks through the provisional waiver program. You can read more about family immigration at http://myattorneyusa.com/family-immigration.
Answered on Jun 20th, 2016 at 3:36 AM