What patent search did you use?
EDIT:
Official Gazette | USPTO
I used the digital library over at Hathi Trust.
They seem to have a rather complete set of USPTO Gazettes digitized.
Text search is still "iffy" -- which is to be expected. (One hardly ever knows what phrase to search for anyway.)
https://babel.hathitrust.org/cgi/pt?id=iau.31858029620238;view=1up;seq=628
The task was made easier by the fact that the item in question was quite literally the 4th design patent issued in Feb, 1916 - so it didn't take too long to spot it.
US patents (utility, design and plant) are not issued every single day, or on weekends, holidays, etc...
And, at least in recent times, the US Patent Office only issues new patents on Tuesdays. **
So, I was able to rule out several of the potential years because no patents were issued on Feb 8th of those years.
Only 1916 had a Feb 8 that fell on a Tuesday.
** I'm pretty sure that's right, but someone will correct me if wrong.
I actually have (4) patents, and each of them was indeed issued on a Tuesday.
(The examiner submits them for publication on the prior Thursday after all Claims are allowed, etc..)
There is both an art and a science to understanding how the Patent Office works.
The science part is knowing which brand of aspirin works best!!