The House was not involved in either of Lincoln's elections; both times he received a majority of the electoral votes.
If nobody receives a majority of the electoral votes for President, the House picks from the top 3 electoral vote receivers. If nobody receives a majority of the electoral votes for VP, the Senate picks from the top 2 electoral vote receivers. Read the 12th Amendment for more details.
Thanks!
I learn something every day on these boards. It’s almost like I don’t have to read things like, what are those called? Books!