From their Facebook page (https://www.facebook.com/BallsVodka/, checked February 2016):
"Balls Vodka is a premium corn-based vodka best served with a sense of fun. Gluten-free and vegan, we're one vodka sure to satisfy the whole party!"
Balls Vodka
by Balls Vodka
Vegan
This product is listed as vegan friendly.
What the company told us
Correspondence on record, with the date of each entry.