We have a pattern lookup request from Mary for a newborn baby sized Cupcake Hat pattern. She would prefer to use light weight  yarn to crochet her baby hat. I have included a few options in Light Weight Yarn and 3 additional free pattern options which use medium weight yarn. Just in case someone who is visiting would prefer the heavier weight yarn option.
Cupcake Hat Patterns
Newborn Cupcake Hat with flower by Teri Heathcote
Yarn: DK Weight (Light Weight), Hook: 4 mm (G) and 3.5 mm (E)
Yarn: DK Weight (Light Weight), Hook: 6.5 mm (K)
Size: Baby (up to 15 inch circumference)
Yarn: DK Weight (Light Weight), Hook: 4 mm (G)
Size: Head circumference: 40/42 – 44/48 (48/52) cm / 15½”/16½” – 17”/19” (19”/20½”)
Some other options in different yarn weights:
Sarah from Repeat Crafter Me has this beautiful Crochet Cupcake Hat Pattern available.
This hat pattern is sized 0-3 months and crocheted in medium weight yarn with a 5 mm (H) crochet hook.
Marie from Underground Crafter has a Cupcake Crochet Hat Pattern available in 3 sizes.
Available in Newborn: 14″ circumference, 5” height, Infant: 16” circumference, 6” height and Toddler: 18” circumference, 7” height. This Cupcake Hat is crocheted with medium weight yarn and a 5 mm (H) crochet hook.
Janaya has this cute cupcake hat pattern available in medium weight yarn. This free pattern is available in sizes Newborn to Adult.
Crocheted in Red Heart Super Saver yarn and using crochet hooks in sizes 4.5 mm, 5 mm (H) and 5.5 mm (I). This pattern is available for free from All Free Crochet: Ice Cream Cupcake Hat