To Mr.Anonymous Poster who disagrees with the attempts "to discredit Tighar's hypothesis using unscientific methods". in reference to the cream jar.
Nobody has tried to discredit anyone's theories.
Tighar never dated the jar, so some decided to help. More input always welcome.

Let's see what your SCIENTIFIC GOOGLING method of one to two hours has found-
The company start date, I think that was previously covered, Mercury last used in 1938, yes we googled that too, the merger of Atlas and Hazel, check, googled that already. However, previous posters did screen their work and did not include tidbits such as references to flint glass versus straw colored glass, versus clear glass. References to canning jars and screw top types on wide mouth jars were not mentioned, nor thermos caps were discussed so far.
I believe none of that was covered earlier because we don't have a canning jar, nor the lid. There is also no argument whether it's flint or clear, or the color differences in clear glass. This jar was offered in flint and opal based on every document I have seen. So fascinating documentation on canning jar types from the anonymous member, but most of the post had little relevance to dating the artifact jar.
In the only area where it matters, the date of the jar based on the logo patent date what was found?
3 different books giving 3 different dates, 1920,1923,1924.
Then the OP says he found a friend who says 1923 would be his choice.
I think that means a lot of people are taking a WAG on the logo date.
So using the logo to date the jar "might" give a range. It might not.
Pick another book, get another date.
The REALITY is it takes more work to date industrial glass sometimes.
I believe Tighar and Mr.Joe C. has had the jar for what two years? and hadn't definitely dated it. So more work might be necessary than 2 hours unless you get real lucky.
Sometimes dating can be done with the style jar, sometimes with the logo date, sometimes with the glass color. Sometimes it is just a date range. Collector's opinions differ as was just shown. Glass books tend to pick a date that relates to the items the author collects,or has experience with. It was previously discussed in this thread, that 1924 was the first date Hazel Atlas made kitchen wares, glass plates, dishes.(some say 1923).
So that is where some get the 1924 date. They have a hazel platter and list it as being available beginning in 1924. True. But what about the milk jug being produced in 1912, right after the merger of Hazel and Atlas, what did it have for a logo?
Obviously Hazel atlas made milk jugs, so what was the logo then?
So you see it gets tricker dating by logo unless something is found showing a logo style change for different years. Like company documents. That would be great.
That is the way it goes with industrial glass.Sometimes no logo is on the glass at all. They did not make these mass produced jars for looks and date them like fine china.
It usually takes a few more hours of googling and then it's a guess usually.
Reference books are not geared to throw away items like cream jars and I have yet to find a reference book on glass that was completely accurate.
As the OP has found out.
What might be a bit more definitive than trying to date it off a logo nobody agrees on, would be to find some written documentation showing what color glass was produced in what year. That might work. For instance Platonite glass was produced starting in 1936. Now if clear(or flint) and Opal were both made from 1908 to 1962 in this style jar, the color type would not help in dating obviously. But we seem to have got lucky. Catalogs for a national distributer were found for several years in a row showing this style jar was ONLY offered for sale in opal(meaning white) after 1917.
I would say that is the best proof yet that 1917 would be the latest year the jar would be made in clear.Patent dates can vary widely from production dates. A 1917 catalog date from a national wholesaler of jars would seem to be harder evidence, as I doubt the company produced these jars in clear and then did not want to sell them.
If anybody has the right date, it's the wholesaler trying to unload the things.
Short of a Hazel Atlas catalog, a wholesaler catalog is as good as it gets.
But if you prefer, call it 1920, or 1923, or 1924. It's still too old.
So back to the drawing board anonymous, we need documentation this style jar was sold in clear around the mid 30's.
More scientific googling needed.