Preheat your oven to 350°F and line baking sheets with parchment paper.
In a large bowl, cream together butter and 1 cup sugar until light and fluffy, about 3 minutes. Beat in eggs one at a time, then add vanilla.
In a separate bowl, whisk together flour, cream of tartar, baking soda, and salt.
Gradually mix dry ingredients into the butter mixture until just combined.
In a small bowl, combine the remaining ½ cup sugar with cinnamon.
Roll dough into 1-inch balls and generously coat each in the cinnamon-sugar mixture.
Place cookies 2 inches apart on prepared baking sheets and bake for 9-10 minutes until edges are set but centers still look slightly soft.
Immediately press a chocolate kiss into the center of each warm cookie. Let cool on the baking sheet for 5 minutes before transferring to a wire rack.
