As an English name, Abigail first became common after the Protestant Reformation, and it was popular among the Puritans. The biblical Abigail refers to herself as a servant, and beginning in the 17th century the name became a slang term for a servant, especially after the release of the play The Scornful Lady (1616), which featured a character named Abigail. The name went out of fashion at that point, but it was revived in the 20th century.
In the English-speaking world this name has been occasionally given since the early 20th century. It started rising in America after the variant Lorelai was used for the main character (and her daughter, nicknamed Rory) on the television series Gilmore Girls (2000-2007).