Here's a similar t-shirt -
http://www.ebay.com/itm/Vintage-Juni...item1c2e790b2f
The maker of this t- shirt was highly likely the maker of your sweatshirt - tagging remains in the t-shirt.
If these are specific All-Star team years, the year should be easy to determine by reviewing all star team lineups.
Best
J
Here is a National League t-shirt -
http://www.ebay.com/itm/Vintage-1960...item2ec47842d9
J