See the link in post 103 above and here’s another to the Heritage Foundation’s Guide to the Constitution, 20th Amendment.
http://www.heritage.org/constitution/#!/amendments/20/essays/182/presidential-terms
The Heritage Article quotes Professor Akhil Reed Amar of Yale Law School and the excerpt from the book is authored by Alexander S. Belensky, Visiting Professor at M.I.T.
There is also the Congressional Research Service Report: “Presidential and Vice Presidential Succession: Overview and Current Legislation”
https://www.fas.org/sgp/crs/misc/RL31761.pdf
I fail to see anywhere in the information you provided that failing to qualify means did not receive the required electoral votes. Not one instance!