Cotton lawn has a very fine weave and can often be found with beautiful tiny prints perfect for doll scale. My favorite cotton lawn is made by Liberty of London, but if the best doesn't fit into your budget, then there are some comparable fabrics to be found for a fraction of the price. Here are a few of the fabrics I have in my collection:
Here are some resource links if you'd like to add some cotton lawn to your collection.
Liberty of London, One of my Favorite prints, Kayoto Olive
More Liberty of London
And even Hello Kitty Liberty of London!
Disclaimer: I am an affiliate for some of the products I recommend on this blog and your resulting purchase(s) may contribute to my income. That said, I only recommend products I love. :)