And here is the earliest confirmed date I can find for Willms Bros. bottling - which is from a 1911 Milwaukee city directory ...
According to this news article, the Sterilized Beer Bottling Co. (Carbondale, Pa.) was established in 1904. Which suggest that your "Non Corkable" bottle was made in 1904 or later. I'm also attaching an article from 1905 that provides some names for future research. They also used a Hutch bottle - although those were typically used for soda and not beer. Your bottle appears to be hand-blown - which was still being done in 1904-05
View attachment 212625
View attachment 212626
View attachment 212627