The debate between 1901 and 1903 (Whitehead Vs. Wright) is really uninteresting in the grand scheme of overall aviation history, and long before 1901 even members of the public could take a hot air balloon ride (and they were already being used in wars).
All that really happened in the early 1900s is that the weight-power ratio of engines got such that it was just waiting for someone to exploit that advancement. That's the reason why people didn't do it before 1901, not because nobody had invented the concept of a fixed wing aircraft (they had, with gliders) but because engines were simply too heavy for their power output to carry both themselves and a passenger.
PS - Yes, Whitehead/Wright deserve credit, they often had to tweak engines, optimise the design, optimise the propeller, and so on. Just saying that broader technology advancements played a large role which is often ignored.