Option 1 is correct. The Orange Prize, now known as the Women`s Prize for Fiction, is indeed awarded to a work of published fiction in English by a woman. This international prize was set up in 1996 to recognise, celebrate, and promote fiction by women worldwide.

Option 2, on the other hand, is incorrect. The Pulitzer Prize is not awarded by the Commonwealth Foundation to a citizen of any Commonwealth country for any literary work in English. In fact, the Pulitzer Prize is an award for achievements in newspaper, magazine and online journalism, literature, and musical composition within the United States. It is administered by Columbia University in New York City.

Therefore, of the provided options, only statement 1 is correct. Option 3 is incorrect because both statements are not correct, and option 4 is also incorrect because it claims that neither of the statements is correct.