It is a bit too big for the baby doll (which is a really bit smaller than a real baby).
But I am thinking it will fit my friend Ms. P's new granddaughter Miss E just fine.
Hat particulars: Elizabeth Zimmermann's Knitting Workshop Heart Hat. Hat knit double stranded on US #8 circular and US #7 double points for single stranded I-Cord and bind off. Knit in Blush and Light Sage Green Lion Brand Microspun. This is the second time I have made this hat and it won't be the last! It is a great pattern and knits up really fast.