DonDaBoomVape + KentC: Missing the point. Look up the words "invention" and "innovation". Invention implies being the first, where as innovate implies presenting as if new, or making changes or doing something in a new way.
Most commentary - scholarly or common, doesn't conform with what you just wrote. For example from wiki:
"Following Schumpeter (1934), contributors to the scholarly literature on innovation typically distinguish between invention, an idea made manifest, and innovation, ideas applied successfully in practice."
There is no such significance of 'invention' being a 'first along a chronological time track.' It is only an 'idea made manifest' and it is (and has been the case) entirely possible that different people have come to the same idea at different times and places - which does not take away from the action of 'inventing'.
Innovation, as above, is a new pragmatic implementation, whereas an invention is a theory/idea made manifest in reality.
"In the social sciences, an innovation is anything new to a culture, whether it has been adopted or not. The theory for adoption (or non-adoption) of an innovation, called diffusion of innovations, considers the likelihood that an innovation will ever be adopted and the taxonomy of persons likely to adopt it or spur its adoption. This theory was first put forth by Everett Rogers.[30] Gabriel Tarde also dealt with the adoption of innovations in his Laws of Imitation.[31]
In business, innovation can be easily distinguished from invention. Invention is the conversion of cash into ideas. Innovation is the conversion of ideas into cash. This is best described by comparing Thomas Edison with Nikola Tesla. Thomas Edison was as innovator because he made money from his ideas. Nikola Tesla was an inventor. Tesla spent money to create his inventions but was unable to monetize them."