Option 1, Iceland: Women in Iceland gained suffrage in 1915, a relatively early date in comparison to many other nations, but not the earliest.

Option 2, India: Women in India gained the right to vote in 1947, when the country got its independence. It was even later than Iceland.

Option 3, New Zealand: New Zealand was the first country to grant women the right to vote in 1893. Therefore, this is the correct answer.

Option 4, USA: In the United States, women`s suffrage was granted at the federal level in 1920, after a lengthy campaign. While this was a crucial moment in history, it occurred decades after New Zealand granted the same right.

In conclusion, the earliest country to give women the right to vote among the options provided is New Zealand.