Hi,
Yes, it would be helpful to see the whole hat, and determine the shape and style. Judging from what you have shown, I would place the hat in the late 'Teems to early 1920s. But hard to be sure without seeing the entire hat. Usually hats would have a lining, but those sheer or lacey hats could have just a hatband or partial liner as yours looks to have.
The address on the hat is one very familiar to me. Downton LA near FIDM and some great museums, etc.