Shekinah is derived from the Hebrew verb שכן. In Biblical Hebrew that Semitic root means literally to settle, inhabit, or dwell, and is used frequently in the Hebrew Bible.
Glory means Glory of our Lord Jesus Christ.
Gay Darice L. Torregoza, one of the composer suggested it because GOD reminded her of HIS Glorious work in their Kristiyanong Kabataan para sa Bayan Anniversary wherein she was one of the worship leader. It happened last October 21, 2012, at 5pm in Jesus Is Lord Cogeo Chapter with the theme:
"He who dwells in the secret place of the Most High shall abide under the shadow of the Almighty." Psalms 91:1
Before it was decided by the team to have a name "Get up Band". However, they prayed for it more to capture God's heart. Then, it became "Shekinah Glory" not just because it was suggested by one of the composer but because it was majority chosen. It happened not because it was planned but because it was God's will.
"Or that all things work together for good to those who love God, to them who are the called according to his purpose." Romans 8:28 KJV