
I finally found these two samples for free, posted to the left. These documents are not Birth Certificates, however. They are, instead, "extrait d'acte de naissance or Extract of certificate of Birth" or Short-form as the US government call them, or official copy of summaries of the birth certificate.
Extrait d'Acte de Naissance or short form
Are documents that state the person, birth date and place without going into all of the hospital information on the long form. The information found in the short form is taken from the official full birth certificate. Extracts of birth certificates are legally accepted as proof of age or citizenship
The National Archives of Haiti often issue these replacement birth certificates or extraits (Extract) to those who request it.