I found a first printing of this at one of my regular (and sadly, now closed) local used bookstores, and it is a gem. I didn't know who Danton Walker was when I bought it, but apparently he was a well-known writer (and sometime director) who penned a Broadway column for the New York Daily News. In this book, he recounts stories of ghosts and psychics told to him by his many friends and companions, including famous folks such as Mae West and Burl Ives.
I used to make it a point to read several stories out of this each Halloween and I decided to go ahead and finish it this year. The ghost stories are a lot of fun, but the book also offers much insight into a different time.
My copy is a first edition published in 1951. After some research, it looks like it was later re-published under the title "That Ghost I Saw" in 1958, and again following Walker's death as "I Believe in Ghosts" with a forward added by Martin Ebon.