The transcription of the poem is not quite accurate, I think, but this is a good summary of what happened. I was in 8th grade and saw it on tv. At the time I was a little embarrassed--for all concerned and for the country--at all the milling around and confusion at the podium. But I was 12 and easily embarrassed by almost anything at the time.
https://www.brainpickings.org/2013/0...-inauguration/
It was Vice-President Johnson, not Richard Nixon, who offered his top hat for shade.
https://www.youtube.com/watch?v=XInL2u0DP88
Cynics have said that Frost "staged" the whole thing to draw attention to himself. I don't think so. Apparently, the dedicatory poem was typed out on a regular typewriter; Frost would have required a large font given the visual conditions.