Yes, that would be the one. What I can see on the cap is:
HILLSIDE DAIRY
SEALED AND
PASTEURISED
CHOCOLATE
FLAVORED MILK
NOT TO BE USED AFTER
[Some kind of date coding, possibly ending …DAY]
[a longer phrase, possibly ending …TED or …IED]
[another long phrase, possibly ending …HOME]
Then, around the bottom edge there’s some smaller letters followed by HGTS. O. in larger letters. I believe the small letters would have been surrounded by larger letters on both sides, which together would have read CLEVELAND HEIGHTS (in abbreviated form, with 'HGTS' being the abbreviation for ‘Heights’ and then ‘O’ for ‘Ohio’.
The Hillside Dairy was located at 1418 Warrensville Center Road, Cleveland Heights, Ohio from 1st July 1932 until its closure in 1999. Here it is in 1940:
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