Excellent. Thanks for the extra photo with which I can now say this is a whiskey bottle based on the shape. Monograms are tricky, I should have thought immediately it could also be UE Co. and saved myself some time!
Likely Ulman-Einstein Co. See https://www.pre-pro.com/midacore/view_vendor.php?vid=CLE10880
The 1905-1919 date seems right for this bottle.