The full size Dodges could have Plymouth bodies with Dodge front clips (known as "Plodges"), but not always (some of the higher line Dodges had US Dodge bodies), and IIRC that stopped after 1959 (to confuse things a little, I recall a 1961 Dodge with a Plymouth front clip that circulated in the magazines some years ago that was said to be a "Plodge", but IIRC it was a fabricated car that didn't come from the factory like that).
Pic of 1957 Dodge Regent below (a "Plodge") to illustrate: