We report a theoretical study of Mn 2p photoemission spectra for Mn thin films adsorbed  on Ag (001) for which large satellites have recently been observed.  Band structure calculations are
 performed to determine the ground state electronic structure.  The band structure information is then used to construct a realistic impurity model that includes full atomic multiplet interaction and coupling to the Mn-3d and Ag-4d bands. The model is applied to various Mn/Ag thin film structures, whereby only the most relevant model parameter, the hybridisation strength, is varied using a simple scaling law.  Good agreement with experiment is obtained for all systems.