According to--U.S, GI non-corrosive primers, by Dick Culver
Protocol of headbase stamps for U.S manufacturers---
There is no listing for HAW or for Hawthorn Nevada
Maybe the list has been updated.
Spam can of m2 Ball WWII ammo, repackaged in Hawthorne NevadaDick Culver may not have a good list or know for sure. One thing I know for sure is the NAD in Hawthorne used to be the largest ammunition depot in the world. I had family work there. My grandmother used to build bombs there..