Utah -- this is the website. They don't have the form online though. Just "who to call or write" to get the form. https://vitalrecords.utah.gov/records/birthregistration
call the state vital records office within 10 days of birth: firstname.lastname@example.org or call 801-538-6371
Fill out home birth packet sent to you. Proof of pregnancy required (prenatal record or pregnancy test from doctor or midwife).