A story with a definite van Vogt-ian feel (after all, it was written by van Vogt) is Asylum, first published in Astounding in May 1942, and later anthologised in Away and Beyond, a collection of van Vogt's short stories.
It indeed deals with space vampires coming to Earth, to conquer it and harvest our blood. The vampires are a husband and wife pair: the wife, Merla, may be the female character you recall. From a review on goodreads:
Jeel and Merla, a bickering husband-and-wife team of a race called
the Dreegh, arrive on Earth, famished unto death. They thus begin to
do what they do best: suck the blood out of humans and, by kissing
them on the mouth, drain all the electrical energy out of their
bodies. These homicides, the first on Earth in 27 years (!), capture
the attention of newspaper reporter Bill Leigh, who eventually becomes
a pawn not just of the Dreegh invaders, but also of the Dreegh's
enemy, the so-called Galactic observer who secretly resides on our
fair planet. The story culminates in the depths of space, on a meteor
base near the Jovian moon Europa, where Jeel and Merla are endeavoring
to kill the Earth scientist Prof. Ungarn, while someTHING has taken
over Leigh's brain and influences his actions from within. As you can
see, this is a pretty far-out tale, a fast-moving and consistently
mind-blowing one, with a great abundance of pleasing futuristic
detail.
Asylum was also incorporated into one of van Vogt's "fix-up" novels, Supermind, but as a novel it doesn't fit with the question.