Hello,
Separation anxiety is relatively common. The root cause of such anxiety is difficult to know with absolute certainty. However, a number of different circumstances can contribute to children experiencing separation anxiety.
Your child can handle being left at daycare, or at your Mother's home.
The most significant mistake you can make would be to have a lengthy goodbye. The second biggest mistake, which is similar, is to ask lots of preparatory questions and offer a huge explanation (over and over again) before a transition occurs.
I know for myself leaving my child crying and walking out the door of daycare turned me into a puddle even though I knew he would settle down quickly and by the time I came back to pick him up, he would not be ready to leave daycare. He was busy playing and interacting with others.
Trust in your Mothering skills.
Hugs
Kitt