Spalding is given much of the credit for introducing gloves to baseball; after developing a sore arm from pitching, he switched to first base in 1877 and started wearing highly visible black gloves.
Neither. If you want to assign the invention of baseball to a country, rather than to an individual person, the clear answer is the United States.
As for the individual inventor, Abner Doubleday is...
some people argue who invented baseball but what we do know is that baseball was probably invented by kids who were just bored and if you think that is dumb think of the last time you played a game...