Need Pattern to make hat within a hat

[Mary838]

Looking for a pattern that will allow me to cast on at the beginning of a completed hat and make another hat and finish off so that the hat is double and it is warm. A lady at our knitting class was making a hat like the one described and it was from an old knitting book. Is anyone out there have this pattern....would greatly appreciate it if you do.....
I am not looking for a pattern this is a reversible hat.....

[Jan in CA]

I've made this one and it's easy.
http://alison.knitsmiths.us/pattern_..._knit_cap.html

Whether you want to call it reversible that's what it is when you make a hat that is double.