Deep in thought, thinking about having a baby? (6)

I believe the answer is:
broody
'baby?' is the definition.
The definition and answer can be both animals as well as being singular nouns.
Perhaps you can see an association between them that I can't see?
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for broody that I've seen before include "Pensive" , "Introspective" , "Morbidly thoughtful" , "Ready and wanting to have children" , "Ready to incubate eggs" .)
