There might be faint embossing on the heel/bottom and back. Can you read it off to us? Also, what shape is the mouth-- it is a true circle or rounded-square?
There appears to be another variation of this bottle: https://www.antique-bottles.net/forum/Ohio-Milk-Bottle-Question-m80476.aspx GREAT-looking embossing in my opinion.
Soeder Sons dairy was popular in Cleveland, Ohio during the early to mid 1900's. The dairy used many bottle manufacturers so the designs are many. Ultimately they became known for their Ice Cream too. I have many from the dairy and the value is not great since the number available. Is there a makers mark on the bottom or edge?