Abstract: Noble-alkali comagnetometers offer the exciting possibility of detecting the anomalous magnetic fields sourced by ultralight axion-like particles. I will discuss an on-going reanalysis of data from a helium-potassium comagnetometer at Princeton, which is expected to yield world-leading sensitivity to axion-neutron couplings in the mass range from to eV. This analysis requires a careful treatment of the stochastic fluctuations of the local axion field. The formalism that we have developed to achieve this is relevant for any experiment that is sensitive to the gradient of the axion field.