Okay, heading off for the hardware store an hour away. The ones closer are already closed. I am hoping if I pick up another plumber's wrench I can get the two parts apart.
For anyone as clueless as me about these things, here's the broken part laid out beside the elbow:

As for inserting the new barb into the plastic, I will need to heat the plastic again you say? The black pipe had a clamp on it tightened with a small bolt that shrinks the diameter of the metal bank around the pipe - this is a worm clamp? And by driver, do you mean something to hammer the end? Sorry, this is a whole new reality for me. I can usually figure things out by looking at them, but I will accept any advice from someone who knows what is going on.
Thanks again to all who have helped.
For anyone as clueless as me about these things, here's the broken part laid out beside the elbow:

As for inserting the new barb into the plastic, I will need to heat the plastic again you say? The black pipe had a clamp on it tightened with a small bolt that shrinks the diameter of the metal bank around the pipe - this is a worm clamp? And by driver, do you mean something to hammer the end? Sorry, this is a whole new reality for me. I can usually figure things out by looking at them, but I will accept any advice from someone who knows what is going on.
Thanks again to all who have helped.