I am, too! Firstly, Laura's mom does it in the Little House books. And I've done it too, but they need to be sliced, or else the sugar doesn't permeate them enough.

But here's some other sources for your edification:
The following recipe for Green Tomato Pie, ... is from American Cookery (1972, Galahad Books) by the late James Beard, one of the foremost authorities on American food.

and here, which also covers other uses for them:
You'll be amazed at the chameleon-like quality of green tomatoes in desserts. With a little creative seasoning, green tomato pie tastes just like apple pie, and green tomato cake is just a moist and delicious spice cake with a secret. Green tomatoes have also been known to show up in jars of homemade preserves. When you add some sugar the flavor of green tomatoes becomes quite neutral and when mixed with other fruit, they become a wonderful way to stretch out that batch of jam or mincemeat.