Since B and S are linked, the kids get them as pairs from the parents, unless crossing over occurs. From a SB|SB and SB|sb parent you can get only SB|SB or another SB|sb.
During normal myosis you will have the BS|bs first replicated as BS|BS|bs|bs and then split to four cells as BS, BS, bs and bs. Only in rare cases (the closer the genes are, the rarer) you will get some gene crossing over between the BS and bs chromosomes and you'll end up with bS, Bs, BS, bs.
So the parents can be BBSs but that's very unlikely. It's actually as likely as having a recombination happening for the kid and being Bbss.
What bothers me about the answer is that if one of the parents was BBSs, they would not have blonde kids. Crossing over can occur only in heterozygous parents.