Complex sentence: Harriet, normally the singer for Ozzie's band, remained in Englewood, New Jersey, with her newborn and toddler while bandleader Ozzie toured with the Nelson orchestra.
Split into simpler sentences: Harriet, normally the vocalist for Ozzie's band, remained in Englewood, New Jersey with her newborn and toddler. Meanwhile, bandleader Ozzie toured with the Nelson orchestra.