The title is most of the question. We will be in Chester three nights in September. We are planning a day trip to Liverpool and or Port Sunlight. The question is which city or both should a pair of Pre-Raphaelite fans with an interest in history do given a single day.
If we did just Port Sunlight, we'd do the Village Museum too. If we did just Liverpool, we'd also do The Beatles' Story, the Western Approaches Museum, and possibly the International Slavery Museum. If we did both, we'd do the Lever followed by the Walker, and then think about other Liverpool sights if time permitted.