The closest Italian place is Antonelli’s, a very small non-chain restaurant. Since your profile indicates you’re from LI and assuming you’d be coming down I-95 South, you would take exit 163, Lorton Road, from I-95 south (same as you would for the AT), but at the light at the end of the exit ramp, instead of turning left for the AT, you turn right onto Lorton Road, then immediately turn right again onto Silverbrook Road. It’s located in a (very) small strip shopping center with the Burger King, a 7-11 and some other shops. Here’s a link
http://antonellis-pizza.com/ A good second option is Pane e Vino, another non-chain. It’s a somewhat larger place with a nice atmosphere and a more diverse menu. At the end of the I-95 exit ramp, turn left as though you’re going to the AT, but drive past it. Travel maybe a half mile, and at a traffic light turn left on Lorton Station Road. Pane e Vino will be maybe ¼ - ½ mile up the road on the left. Here’s a link.
http://www.paneevino-ristorante.com/ The last option isn’t a pizza/pasta restaurant, but it does offer menus that might work for you and your daughter. Glory Days is a chain sports-themed restaurant, very kid friendly (lots of TV’s showing sporting events from different locations if your DD is into sports). The menu is mostly sandwiches, but they also offer pizzas and a diverse kid’s menu
http://www.glorydaysgrill.com/#menus/dine-in/kids. Glory Days is located in the shopping center across the street from the AT station. Here’s a link to the Lorton location restaurant.
http://www.glorydaysgrill.com/#locations/virginia/lorton One of these should work for you.