I hope to know who first used the name "Hawaiian Earrings."
Barratt, Milnor(1962) says "This example was suggested by Steenrod" in its Introduction:
https://www.ams.org/journals/proc/1962-013-02/S0002-9939-1962-0137110-9/S0002-9939-1962-0137110-9.pdf
And this is Steenrod(1949):
https://www.jstor.org/stable/1969589
But these two articles don't use the term "Hawaiian Earrings."
I posted this question at Reddit and got a recommendation for this forum.
Also kindly proposed was Kaminker, Schochet(1977):
https://www.ams.org/journals/tran/1977-227-00/S0002-9947-1977-0431136-9/S0002-9947-1977-0431136-9.pdf
Any additional suggestions will be appreciated.