The bad news is that the Waterloo Dock in Liverpool was significantly modified in 1868 and is now blocked off by apartments and offices. But we know where it was at the lower end of Waterloo Road just north of Prince's Dock.
The good news is that I found an 1850 article from the Illustrated London News about emigration from Waterloo Docks. Grandma Elinor embarked on the Enoch Train from Waterloo Dock in 1856 for Zion. It couldn't have changed that much in six years.
The Mormon emigrant companies were known for their organization and orderliness, although it may not have been much different than the scene above.
In the excitement of waiting to depart, the emigrants below decks would play music, sing, and dance. We have reports that Mormon emigrants enjoyed such practices.
It is astounding to consider that these small ships carried hundreds of passengers.
And a scene that would be valid for any sailing was the departure. Family members, and in the case of Mormon companies, missionaries and church leaders, would be on the docks to bid farewell. The feelings of the passengers who were likely to never see their native land again can only be imagined.
And that's the way it was, Waterloo Docks, 1850s.