Well KT what you describe as the "STARE" is probably what I would call the proverbial "Stink Eye." Especially if you are eating or doing anything else that she may like but is not included in the activity.
Politely tell Rosie "No" and if you want to give her something after dinner when the family is done....then give her a treat of some sort.
I am sure some others will chime in as well. But this is my two-cents worth.