OP states that g-ma is supporting her kids (which is why g-ma wants to claim them on her taxes)
For OP, students are not part of her household (because they live with g-mai). Student is not part of parent household
however, they should still be part of the number in college.
Is this going to cause a verification flag?
Does this also mean that OP may not be able to claim the AOTC because her kids are not living with her and wont be dependents on her taxes?