In a mixing bowl, combine flour, brown sugar, cinnamon, and salt for the crumb topping. Cut in butter until mixture resembles coarse crumbs. Refrigerate while preparing cookie dough.

Preheat oven to 375°F (190°C) and line baking sheets with parchment paper.

Whisk together flour, baking soda, cinnamon, nutmeg, and salt in a large bowl.

In another bowl, beat butter, brown sugar, and granulated sugar until light and fluffy. Add egg, vanilla extract, and apple butter, mixing well.

Gradually add dry ingredients to wet, mixing until just combined. Fold in chopped apples.

Drop rounded scoops of dough onto prepared baking sheets, spacing 2 inches apart. Sprinkle crumb topping over each cookie.

Bake for 10-12 minutes until edges are golden and centers are set.

Cool on pans for 5 minutes then transfer to a wire rack to cool completely.