That little soft squeaky sound when they're feeling al lovey-dovey? What do you call it? That along with little clucks means she wants to snuggle. Is it just females?
All of my birds have made a sound specific to them when they're content and cuddly. The caique does a trill sound, and the Ekkies make a little "hmm?" sound. It varies with each bird but my experience is they all have certain sounds and behaviors when they relax and are enjoying cuddles.