Step 1: Establish A's relation to B.
A is B's sister, so A and B are siblings belonging to the same generation.
Step 2: Find C's relation to A.
C is B's father. Since A and B are siblings, C is also A's father.
Step 3: Find D's relation to A.
D is C's mother, meaning D is the mother of A's father. Therefore, D is A's Grandmother. \[ \boxed{\text{Grandmother}} \]