Whoso is not able to afford to marry free, believing women, let them marry from the believing maids whom your right hands possess ... If when they are honourably married they commit lewdness they shall incur the half of the punishment (prescribed) for free women. Quran 4:25
I'm still not sure of the correct punishment here. Verse 4:15 says a lewd woman should be confined to her house for the rest of her life. If that refers to free wives, then a lewd slave wife should be confined for half of her life.
But then there's verse 24.2 to consider.
The adulterer and the adulteress, scourge ye each one of them (with) a hundred stripes. And let not pity for the twain withhold you from obedience to Allah, if ye believe in Allah and the Last Day. And let a party of believers witness their punishment.
So maybe your lewd slave wife should get half of that: 50 lashes.
Sorry I couldn't be of more help.