Does she demonstrate pet project in stateside gift-giving bash (4,6)

'stateside gift-giving bash' is the definition.
(US event for giving presents to a new mother)

'does she demonstrate pet project' is the wordplay.
I cannot really understand how this works, but
'she' could be 'bab' and 'bab' is found within the answer.
'demonstrate' could be 'show' (synonyms) and 'show' is located in the answer.
This explanation may well be incorrect...

'in' acts as a link.