We consider the class of meromorphic univalent functions having a simple pole at p ∈ (0, 1) and that map the unit disc onto the exterior of a domain which is starlike with respect to a point 𝓌0 ≠ 0, ∞. We denote this class of functions by Σ∗ (p, 𝓌0). In this paper, we find the exact region of variability for the second Taylor coefficient for functions in Σ∗ (p, 𝓌0). In view of this result we rectify some results of James Miller.