The closest name I found from searching online is "crimp terminals", specifically the first I believe would be "female round crimp terminal" and the second "female right angle crimp terminal", however I am not sure if that is descriptive enough to ensure I can find and order the proper replacements.
These are from a Dyson vacuum if it helps. The wire itself is severed, so I was planning to purchase same gauge wire (AWG22) and the 2 terminals.