If this foal is a lethal white then yes, both mare and stallion are definitely carriers.
If the foal is not, then it's still possible both horses are, or that one is, or that neither are; the only way to say for sure would be a DNA test for the lethal white gene.
If a horse carries overo, or it's supsected they might, the responsible thing to do is to have them tested for lethal white. That way, you can make sure there is no chance of a lethal white foal (so if you have a mare that tests positive, you make sure she's only ever covered with negative stallions. If your stallion is positive, then you only use him on mares that tested negative. Simple, really.)
For as long as breeders don't test both parents before breeding, they run teh risk of a lethal white foal.
There's no chance of a lethal white if only one parent carries the gene; so all you need to do is make sure you don't breed two carriers together.