This is not the first Green Hornet story I’ve shown — nor the first featuring a mummy nemesis (see link below) — but it is from Harvey Comics’ first issue of Green Hornet Comics (#7, 1942). Looking back, I have shown several mummy stories on this blog...perhaps this motherless blogger has mummy issues!
Grand Comics Database doesn’t guess who the artist was, but based on art identification by Jim Vadeboncoeur Jr they give credit for penciling and inking Green Hornet’s face to Arthur Cazeneuve.
Another Green Hornet mummy story, from Green Hornet #29. Just click on the thumbnail.