Thanks, guys. 1920's seems to be a more likely date range for this lid - The crest doesn't say E.A. Mallory & Sons, Inc. which is the header they were using during the time of the advertisement (think they switched to the Mallory Hat Co in 1919-1920). Also, the center crest emblem contains "Beaver Brush Finish" designation but it is unlikely that a beaver colour option from the 1909 ad would warrant its own sweatband punch (never seen a sweatband punch designation based on a colour option). So perhaps this is a later incarnation of that original "X Brush Finish" ad campaign.
Garrett, if you look at the ads in the mADness thread, you'll see the change from EA Mallory happen between 1917 and 1918. They seem to have only used the lower case, cursive, Mallory (like on your hat) in the late teens and switched to the capitalized Mallory in 1920. I'd guess your hat at 1917-1919.
Please ad it to the main Mallory thread when you get a chance. Thanks!
B