That’s so 1930s; by the 1960s they had typewriters. The only thing produced in handwriting was the signatures and dates (attesting to the signature). By the late 1970s they were back to a note sheet with keyboard entry into a data base system or word processor. By the mid 1980s word processors had swept all before them.
So you are saying that they carried the typewriter from room to room, or had a typewriter in the birth room and one in the patient’s room, etc.... and each time they added more info, they stuck it in the oh-so-handy typewriters scattered about the hospital, and added bits of info?
Somehow, I just can’t see that as the way it worked.
But they did not ‘center’ actual typewriter-typed names into boxes...