In keeping with my shorter posts rule, here's another short one.
You're not much of a talker. What do you do to keep the conversation going?
That's it. Actually listen. Don't think of what to say. Don't think of how to relate or reward that. Just listen. It's also okay to let yourself show you are listening.
When you actually listen to someone, you keep eye contact and respond with things like "yeah," "cool," and "uh huh." It might raise other questions in your mind. You might think of a funny joke. By actually listening, you free yourself to reacting honestly, even if it's with a simple "schwing!"
On the other hand, if you pretend to listen or try to look like you're listening, you're gonna stare a hole into her head.
If she's at all interested, this works even when she's not saying anything. Just shut up and listen.