Preheat the oven to 350 degrees. Line an 8 x 8 baking pan with foil and set aside.
In a large bowl combine the butter, egg, brown sugar, and vanilla. Mix well.
Stir in the cocoa powder.
Add in enough red food coloring to turn the batter red.
Stir in the flour.
Pour the batter into the prepared pan.
Melt the chocolate chips in the microwave in 30 second increments, stirring after each heating.
Drizzle the melted chocolate over top of the red velvet batter in 4 straight lines. Use a butter knife and swirl the batter and chocolate together.
Bake for 28-30 minutes. Remove from oven and cool completely.