We use a model of the Galactic fountain to simulate the neutral-hydrogen emission of the Milky Way Galaxy. The model was developed to account for data on external galaxies with sensitive H i data. For appropriate parameter values, the model reproduces well the H i emission observed at intermediate velocities. The optimal parameters imply that cool gas is ionized as it is blasted out of the disc, but becomes neutral when its vertical velocity has been reduced by similar to 30 per cent. The parameters also imply that cooling of coronal gas in the wakes of fountain clouds transfers gas from the virial-temperature corona to the disc at similar to 2 M? yr-1. This rate agrees, to within the uncertainties, with the accretion rate required to susta...