Hi, I now have the Faulkner Birth Registry Records and I looked for Alexander Faulkner as you mentioned above. I saw that in 1862, John Alexander was born on Virgin Gorda. In 1864, another John Alexander was also born in Virgin Gorda. Unfortunately I am not seeing Alexander born on Tortola. He may have been born prior to the recording of names (prior to 1859).
Myrna