  We generalize the theory of resolving a mixture of two closely spaced
spontaneous emission lifetimes to include pure dephasing contributions to
decoherence, leading to the resurgence of Rayleigh's Curse at small lifetime
separations. Considerable resolution enhancement remains possible when lifetime
broadening is more significant than that due to pure dephasing. In the limit
that lifetime broadening dominates, one can achieve super-resolution either by
a tailored one-photon measurement or Hong-Ou-Mandel interferometry. We describe
conditions for which either choice is superior.
