In the song "An English Teacher" from the musical "Bye, Bye Birdie," Rosie sings to Albert
You were going to NYU / and become an English teacher.
I would parse this as
You were (going to NYU) and (going to become an English teacher). but I'm not sure if
become is used as an infinitive here, and (if so) whether
to can be "distributed" like this between a noun and an infinitive verb.
(The line is in a song, so I suppose some creative liberties can be taken with the grammar. However, I thought it was a bit funny that this (possibly) ungrammatical sentence was in a song with such a title.)