Immigrants eligible for DACA (Deferred Action for Childhood Arrivals) can receive work authorization. In general, DACA is intended to help individuals who entered the United States as children and attended school in the United States. There are many specific requirements for DACA, so anyone who thinks they may be eligible can read the government's instructions at uscis.gov and should consult with an experienced immigration attorney.
On November 20, 2014, the Obama administration expanded Deferred Action to include some parents of children born in the United States. This type of Deferred Action was given the label of DAPA. Several states (including South Carolina) challenged the President's action and in February 2015 a federal judge in Texas ordered the administration to stop this program. Because of the ongoing litigation related to DAPA, it is not currently possible to apply for this type of Deferred Action.