Because the tickets are not in your name, there is no way to have them appear in your account. If the kids had Rapid Rewards accounts, the trips would show up in their accounts. Until then ..
You can review the tickets by filling in confirmation number and name here:
southwest.com/air/manage-reservation/index.html
A better solution would be to have your kids get their own Rapid Rewards numbers and add them to the reservation. A link to do that is included in the link above.
Plus, they'll earn Rapid Rewards points when they do so.
