Registered Birth records upto 1901 are available on LDS films 0454959-67. These films show the full certificate. Two of them have been indexed and are on my web site.

Indices to all registered births are also available on LDS films. Douglas to 1942 on film 0454954.
Douglas to 1964 film 0454955.
Rest of the Island 1849 - 1964 on film 0454956.

To the best of my knowledge, birth records post 1901 are not available for public viewing. You have to apply for a certificate.