Yes, she may, in her own careful way, be trying to forge a connection with you. Or, she may want a special memento which smells like you, to keep her grounded when youíre gone.
Frauchen von:

Grimm van den Heuvel, "Donnerpratzen"
Smokey The TeddyLion, DLH purrbuddy

Dir gehŲrt mein Herz