Prepare the crumb topping by mixing the flour, brown sugar, cinnamon, and salt in a medium bowl. Cut in the butter until it resembles coarse crumbs. Refrigerate while you prepare the cookies.

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

In a large mixing bowl, whisk together the flour, baking soda, cinnamon, nutmeg, and salt.

Cream together the butter, brown sugar, and granulated sugar until light and fluffy. Add the egg, vanilla extract, and apple butter, mixing until well blended.

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

Drop portions of dough onto the prepared baking sheets, spacing them 2 inches apart. Sprinkle the crumb topping over each cookie.

Bake for 10-12 minutes or until golden brown. Allow to cool on the baking sheet for 5 minutes before transferring to wire racks.