Every artist I've ever met!
Instead of loose leaf paper... get her a sketch book she can carry around with her (I'd suggest a "smaller" one The compusion is to draw what yo see or draw what's in your mind before you forget it, or before the scene changes. Whatever size the paper is dictates how big the image is. Something 6x4 ish will take a LOT less time than 9x11). Enroll her into some art/drawing classes.
With artists... whether it's visual (like drawing, photography, painting), music, written (stories), performace (acting, comedy)... those things take up space in your brain, and are coupled (frustratingly) with a fear of forgetting them. So on the one hand you want the space they're taking up, and on the other hand you don't want to forget them... so you get them down.
Another 'time saver' (in addition to a smaller notebook) is a SINGLE color. If you live near an art store a brown paper (or red, or grey, or whatever) color paper book coupled with a white pencil leads to some lovely results. Or there's the easy to come by white paper and grey pencil. TRY to stick to no more than 2 colors (white and charcoal gets used for a reason!)
Most kids draw (lol...although my son is NOT one of them)... very few are born artists.
My mum is a 'saver' as is hers. I have something like 200 sketchbooks filled cover to cover JUST from highschool and middle school (the elementary ones are in a big clothing box, and have not been counted). HER mum had hundreds of sketchbooks from MY mum (and ditto from one of my uncles who became an astrophysicist, and one of my aunts who became an engineer).
So the bicolor and sketchbook tricks aren't ones I use with MY son, but rather what was used with me, my mum, and others.
________ THEN sketchbook!
As in: Seatbelt THEN sketchbook, eat your dinner first THEN sketchbook, pick up your room first THEN sketchbook. Always have the book as the prize for other things that need to happen first. Grind it in; daily living, THEN sketchbook. Remind her in the car. "Okay, when we get home; you need to go to the bathroom, wash your hands, homework, THEN sketchbook. What's the order?" AND HAVE HER REPEAT IT BACK to you.