Well, it really depends on the mother's genotype. Her phenotype (meaning the traits that are displayed) contains brown hair and brown eyes. Both of these traits, especially hair color, are more complicated traits than some and therefore it is more difficult to predict the traits that will be exhibited by the descendants.
Does the mother have any family members with blonde hair or blue eyes? They do not have to be parents or even grandparents, but one probably needs to exist sometime recently in her lineage. If there are no known members of the mother's family with these traits, then it is not very likely that the child will have them. However, if a family member does have these traits, it is possible that the mother may carry the genes for blonde hair and blue eyes. Brown hair and brown eyes are dominant, which means that even though the mother does not have blonde hair or blue eyes, she could still have these genes hidden in her genotype and they could be passed on.
As I said before, these traits are difficult to predict in humans, but if the same predictions were made for rabbits, for example, and if the mother carried the gene for both blonde hair and blue eyes, the chance that the baby would have both blonde hair and blue eyes would be 1 in 4.
Hope this helps!