ISO pattern for Girls' socks for 3yo and 8yo

I’m trying to find patterns for socks for these sizes for my dgds. I can find toddler socks that call for worsted weight but really want to use finer yarn. Any suggestions?

There is a good finer gauge basic pattern here (scroll down) in large range of sizes. From small child to large mans. I’m on my second pair now and like it lots.
http://www.doublediamondknits.com/free.html