When the Duchess is coming down the staircase at Molly's party, Molly elbows Gladys and tells her to curtsey. In the next shot, which is from farther back and takes in the guests and the staircase, the same exchange between Molly and Gladys is shown again.
In the long shot showing the Titanic approaching the iceberg, the iceberg is coming up on the starboard (right) side of the ship. In the next shot, an underwater closeup of the ship striking the iceberg, the iceberg is on the port (left) side of the ship.
When Buttercup Grogan is drinking beer with Molly, Johnny and Shamus, the level of beer in her glass goes from nearly full to nearly empty and back to nearly full.
The Molly Brown House in Denver is actually quite small. Only
one room had a smidgen of red wallpaper (she also thought too much red to be gauche). Her parties were well-attended (although the orchestra played from the balcony outdoors and serenaded the whole neighborhood), and she was accepted by her peers even before the Titanic. The larger house, which she named Avoca, was at the time outside of Denver. Both houses are restored and open to the public.
Mrs. McGraw's (really Mrs. Crawford Hill) mansion was located on Sherman Street between 9th and 10th on the West side of the street. The Brown home is on Pennsylvania between 13th and 14th on the East side of the street. The Brown home is a museum and the Hill mansion is now the location of a law firm.
A long shot during the Titanic sinking shows just the ship's bow deck being submerged, the water not even reaching the bridge. Yet the entire rest of the steamer is raised out of the water. The weight of the water filling only such a small section of the hull wouldn't be enough to accomplish that.
The pie thrown at the end of Molly's party appears to be in a disposable aluminum pie pan. The disposable pie pans were not used until 1948.
When Molly first meets John, in the 1880s, they look at some picture postcards she has with her. The picture occupies one entire side of each card, but postcards of this type were not available in the USA until 1907.