<p>We establish well-posedness and unique determination of coefficients for a class of nonlocal parabolic operators with drift. The operators under study involve a superposition of fractional space-time derivatives of orders strictly between one-half and one, together with a first-order drift term and a zero-order potential, both defined on a bounded space-time cylinder. We prove that the drift and the potential are uniquely determined by the exterior Dirichlet-to-Neumann map, which encodes measurements made strictly outside the domain. The proof proceeds via well-posedness in fractional parabolic Sobolev spaces using the Fredholm alternative, an entanglement principle that reduces the problem to the drift-free case, a Runge-type approximation result establishing density of exterior solutions in the interior, and a Green-type integral identity linking the difference of two Dirichlet-to-Neumann maps to differences of coefficients. Unique recovery then follows from an oscillatory-phase test function argument.</p>