You'll see from the rather vague recipe blow, I have a lot of experimenting to do w/ this recipe.  I believe I'll make some and test them out on family members during Christmas - hopefully they'll help me tweak.
GGma doesn't specify how much flour, she just said to use enough to make a soft dough.  I started out with 1 1/2 c., but ended up adding and probably used about 2 cups.  I ended up baking for about 10 minutes.  I increased the tempurature to 325 during the last couple of minutes. 
I also baked half the dough and chilled half.  I'll bake the chilled portion later.
I can tell you that the soft doughy portion that I just baked was delicious.  They were puffy and delicate -- a delicious cross between a cookie and a cake.
Recipe follows:
Great Grandmother McCarrell's Tea Cakes
 150 year old recipe
1/12 cups butter
1 cup sugar
1/4 teaspoon salt
2 eggs
1 teaspoon soda
1 teaspoon baking powder
1 teaspoon vanilla
plain four (I used AP)
Beat eggs. Add sugar, salt, soda, baking powder and vanilla.  Then add creamed butter and enough plain four to this mixture to make a soft dough.  Roll very thin and sprinkle with granulated sugar.  Cut cookies the desired size.  Bake in moderate oven (about 300).  They bake quickly.
