Various implementations include neonatal transport apparatuses and systems employing such apparatuses. In one particular implementation, an apparatus includes: an isolation stage; a first mount on a first portion of the isolation stage, the first mount configured to engage a mounting frame of a neonatal transport unit; a second mount on a second portion of the isolation stage, the second mount configured to engage a stretcher; and a stabilizing coupler extending from the second portion of the isolation stage, the stabilizing coupler positioned to directly couple the isolation stage with a floor underlying the stretcher.