Ed-U-Cards , a company headquartered out of Long Island, NY manufactured baseball themed card games beginning around 1949. Most of the games were very similar, with only slight design changes to the packaging.
In 1964, Ed-U-Cards produced sets for individual teams. I'm not sure if all teams were done, but the Orioles were included. I've seen sets of an additional 10-12 teams. I see them occasionally listed on eBay.
It was a simple game, that involved drawing cards until each batter made an out or reached base. There are 36 cards in the deck and include a game board.
1964 Orioles game box
Attachment 408875
Game board
Attachment 408876
Sample game cards
Attachment 408877