A father's comment: They're not little men or little women, they're children. To be asking them to go home and, after they've had their full afternoon of activities --- and they're learning in all of those settings --- to ask them after supper to now write an essay, to do a project... it's not optimal time.
Thanks, John. Your question is not easy to answer definitively, but some comments:
1-- The text is informal, a replica of spoken English, so the grammar is loose. 2-- You'll notice that the writer uses both forms you mention ('To be asking them to go home' and 'to ask them after supper'), and these are set parallel in the same sentence-- so the difference between them h