First - a clarification. Y-DNA is passed only from father to son, but mtDNA is passed from mother to son or daughter.
Secondly - because Y-DNA and mDNA only follow the direct paternal and maternal lines, the answer to your question is that you can't use these types of tests to confirm relationships in the scenario you're describing. You could, however, potentially use autosomal testing, if these relationships are fairly recent (within ~8 generations).