Babel code in React component to display tasks
This looks pretty good. I don't really have any big comments, since I found it pretty easy to read. Nits:


you could remove the wrapping div with the id orderedList... The ol tag serves the same purpose, plus it's not a very specific name. I think it probably makes more sense to add a class to the ol with a value like tasks.
Generally don't use the index as a key. React uses these to figure out what to redraw. If you have some sort of ID, use that; if not, you can probably just use the task title, or a title + index. You want this to be specific... if the key too specific the component will get redrawn too much (generally not a problem). If the key is to general, components will be "stale"... not redrawn with the proper values.


Look good!