Will Won win the right for he and his mom to stay? To help newbies to this stick widget I offer: https://www.washingtonpost.com/news/the-fix/wp/2015/08/20/the-myth-of-the-anchor-baby-deportation-defense/?utm_term=.9254bb6a3fa2
Won is a US Citizen by birth. Not deport-able. Mother has a reasonable claim to asylum. If the two have money or strong US connections they will virtually always succeed. If not some hope but not much.