The cowboy hat is read as independence, wide open spaces and rugged self-reliance. Dream books see it as a wish to ride out on your own terms.
Does the traditional reading fit your dream, or did it mean something else to you?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.