Are you trying to make a pun with byte/bite relating to nibble? Because that's actually where the term nibble (referring to 4 bits) comes from, so I'm not sure such a pun even counts as a pun anymore. Or am I misinterpreting your comment?
The first book match I get for "nibble" near "byte" is in the 1964 "System 360 Assembler Language" by Don H. Stabley uses nibble. The earliest match I can find for "nybble" in relation to computers was the 1968 "Encyclopedia of library and information science". Nybble (and likely nibble) itself doesn't seem to have taken off until around the mid 1970s https://books.google.com/ngrams/graph?content=nybble&year_st...
References to the coining of the term in 1958 of course don't provide a textual source.