Well, if it was edited by "the late" George E Brown, it means the editor was already dead in 1937, which would make the expiration date 2007 or earlier. A Google search shows that he died in 1934, making the expiration date 2004. The book doesn't appear to be claimed by a corporate entity, so I think we can safely say that whoever translated it was either George E Brown, or it was someone who did not claim any rights over the translation, or possibly the publisher removed the name of the translator.
The original author of the French edition was Louis Phillipe Clerc, who died in 1959. However, translated works are new works, and therefore the copyright is not based on the original work, but on the new work. This is why L.P. Clerc's death date doesn't matter.
Copyright in anything written by George E Brown expired in 2004, which means that you should be safe publishing this on an EU server.
Note that I'm not a copyright lawyer, or even any sort of lawyer at all. This is just my best effort at helping you!