beg for (someone or something)
To plead or ask earnestly for something or someone. Our kids have been begging for a dog for years, and we're finally getting them one. I tried to calm my little cousin down and distract her, but she still begged for her mama all night.
beg for someone or something
to plead to be given someone or something. He missed Jane a lot and was just begging for her to return to him. Jane begged for another helping of ice cream.