Section 4
(1) Any man or woman who, on the fifth day of August 1962, is or had been married to a person -
who becomes a citizen of Jamaica by virtue of section 3 of this Constitution; or
who, having died before the sixth day of August 1962 would but for that person's death, have become a citizen of Jamaica by virtue of that section,
shall be entitled, upon making application in such manner as may be prescribed and, if he or she is a British protected person or an alien, upon taking the oath of allegiance, to be registered as a citizen of Jamaica.
(2) Any person who, on the fifth day of August 1962, is a citizen of the United Kingdom and Colonies-
having become such a citizen under the British Nationality Act, 1948, by virtue of his having been naturalised in the former Colony of Jamaica as a British subject, before that Act came into force; or
having become such a citizen by virtue of his having been naturalised or registered in the former Colony of Jamaica under that Act,
shall be entitled, upon making application before the sixth day of August 1964, in such manner as may be prescribed, to be registered as a citizen of Jamaica:
Provided that a person who has not attained the age of twenty-one years (other than a woman who is or has been married) may not make an application under this subsection himself but an application may be made on his behalf by his parent or guardian.
(3) Any man or woman who on the fifth day of August 1962 is or has been married to a person who subsequently becomes a citizen of Jamaica by registration under subsection (2) of this section shall be entitled, upon making application in such manner as may be prescribed and, if he or she is a British protected person or an alien, upon taking the oath of allegiance to be registered as a citizen of Jamaica.
Section 7
(1) Any man or woman who, after the fifth day of August 1962, marries a person who is or becomes a citizen of Jamaica shall, subject to subsection (2), be entitled, upon making application in such manner as may be prescribed and, if he or she is a British protected person or an alien, upon taking the oath of allegiance, to be registered as a citizen of Jamaica.
(2) A person may be denied registration under this section if -
thre is satisfactory evidence that -
the marriage was entered into primarily for the purpose of enabling that person to acquire Jamaican citizenship; or
the parties to the marriage have no intention to live permanently with each other as spouses, after the marriage;
the person has been convicted in any country of a criminal offence specified in any law which makes provision for such denial on the ground of such conviction.
(3) Subsection (2) shall not affect the right of any person who, before the 26th day of March, 1999, was entitled to apply for Jamaican citizenship by virtue of any provision of this Constitution in force before that date.
http://pdba.georgetown.edu/Constitutions/Jamaica/jam62.html