If your mom really loves him then she should be by his side in whatever country he is living in.
If he wants to be an American citizen then have him do what thousands do each year and go through legal channels. If he wants to sneak over the border then he is no better than any other criminal who does it.
So many people look past their own transgressions and make excuses for themselves these days. "It's just a little pot." "I was only speeding a little." "She was a few days away from turning 18." "Everybody else is sneaking over the border." Stop making excuses for yourself!
If this man is a stand up guy, he will do what is right and not make lame excuses. If your mom is a woman of integrity then she needs to stand by her man. If they cannot be together in the US or Honduras then perhaps one of the other countries around the world.
If you cannot be true to yourself and look others in the eye with a clear conscience then you are not the person you imagine yourself to be.
This occured to me while reading the sympathetically-written tale, but I did not want to belabor the obvious:
Looks like Mom needs to move to Honduras.
Everybody's happy.
(After he serves his most recent time, of course).