Chaya was the name of Chava (Eve) before the sin in the Garden of Eden; she is the mother of all life. She's the first woman, and the name is associated with being a life giving force in a number of places in Tanach. When the Israelites were in Egypt, Pharaoh made a decree that all Israelite newborn boys must be thrown into the Nile. Despite this danger, as the Israelite women continued to have children and perpetuate the Jewish people, they were referred to as chayos, or life givers.
Similarly, Rochel Imeinu sacrificed tremendously for the sake of the Jewish nation. She allowed her sister Leah to marry Yaakov first after already waiting seven years, knowing that Leah would also mother many of the tribes. Her whole purpose was to give to her children, and tragically, she passed away during the birth of her second son. And Rochel's chessed (giving) didn't stop there. The Torah states that Yaakov buried Rochel "on the way." He saw with divine inspiration that the Jewish people would pass through Beit Lechem on their way out into exile and buried her there so that they could stop and she could pray for them. It is written in the book of Yermiyahu (Jeremiah) that the compassionate tears of Rochel Imeinu are what will ultimately bring all of her children, the Jewish people, out of exile. Even today, people flock to her grave to ask that she pray on their behalf.
We hope that our Chaya Rochel will grow into a strong, motherly figure for her generation and those that follow.