Spouses and unmarried children under the age of 21 can apply for the R-2 visa. Other than derivative visas in the L-1 or E-1/E-2 category, the R-2 visa does not allow the accompanying spouse to apply for a work permit.
Children may, of course, attend high school or college/university.
IMPORTANT: unmarried or same-sex partners do not receive a related status, the latter even if they are married under foreign law or US state law. They will have to apply for their own (work) visa