The original furnace was a coal fired “octopus” design which had no blower to circulate the air but relied upon warm air rising to distribute the heat. That also means that the system breathed air in from the basement and most of this type did not have a cold air return system. At some point (probably in the 1940’s) the system was upgraded to a forced air gas furnace. The upgrade included replacing the 12″ diameter air ducts exposed in the basement with 6″ ducts and a cold air return system of ducts from the two (only two) air returns on the first floor.
My best advice has always been that a proper duct cleaning is a valuable investment when moving into a home (new or old), after major renovations and if the ducts have never been cleaned before. It is unlikely that there will be increased air flow, as finding major blockage is unusual, but this will eliminate this as a possible concern if there are air flow concerns. It is also true that the "dust" that is cleared out will most likely never have been distributed through the house unless there has been some work done on the ducts. What is cleared out will be pet hair, toys, clothes, construction material, and biological material (small carcasses and/or feces). Once a proper cleaning is done a follow-up is rarely necessary, but up to the home owners discression.
I guess I should present my credentials first, I am a 30 year veteran of the heating and cooling industry. I started at the bottom and have participated in every area of the trade. Installer, service, maint. Ownership, rep, territory manager and so on. A forced air duct system is a large vacume. Like your vacume it has an air intake (return air) and an exhaust (supply registers). A filter just like a vacume (located next to furnace or air handler). Now I want you to visualize something. Put your head inside your vacume cleaner and breath. Get the picture? This is what your duct work looks like. Do you clean your vacume when it’s dirty? If it’s full and the filter is dirty you lose performance and it starts poluting the air you breathe. It’s common sense. I recommend hiring a duct cleaning outfit that you have researched to be honest, background checked, drug tested, insured, and highly recommended by your piers in the area. The service is a necessity, but like everything, it should be done by a qualified company.