Friedrich Engels first proposed that the Industrial Revolution was technologically driven in 1844 (Die Lage der Arbeitenden Klasse in England) but unfortunately wasn't translated into English until after Arnold Toynbee, who had by then come up with a slightly longer list of things, which was probably for the best. The problem with an 'invention'-driven IR is that there must be other things ready including growing demand, export growth, changes in taste, efficient capital markets (and supply of capital), productive agriculture, a stable government, and then you can throw in the scientific changes and inventions, otherwise they won't work (Nick Crafts argued that France had better scientific expertise, but didn't start the IR). In short, the IR isn't about inventions but about a nexus of things that need each other to work properly.

If I was forced to suggest one invention (although it's not) , I'd suggest coal and inventions that use it because that frees you up from geographical (wind and water) and power restraints (using humans and animals). Coal reduces transport costs and enables previously wooded land to be used for food production.