I am a brown haired mom and my coloring is more taken to coral shades than pinky shades... but the main factor is going to be skin tone...are you fair or darker? That also plays a role!
I think it depends on your skin tone not your hair color you want your face makeup to match your skin. if your unsure you can always go into a beauty store and they can help you find the right shade.
I agree that skin tone is a big thing to look at. I look better with jewel tones like the darker purples and blues, or greys and blacks. Light colors look funny on me and definitely not pinks.