Arcana Coelestia # 1946
1946. 'And you will call his name Ishmael' means its state of life. In ancient times sons and daughters used to be given names which meant the state that their parents were passing through, especially that of their mothers at the time of conception, or while they were with child, or when they gave birth, or after their infants had been born. Names accordingly carried a meaning. The origin of Ishmael's name is explained here, namely 'because Jehovah has hearkened to your affliction', which was his mother's state. What Ishmael represents however is described in the next verse.
Deuteronomy 16:2-3
2
You shall sacrifice the Passover to Yahweh your God, of the flock and the herd, in the place which Yahweh shall choose, to cause his name to dwell there.
3
You shall eat no leavened bread with it. You shall eat unleavened bread with it seven days, even the bread of affliction; for you came forth out of the land of Egypt in haste: that you may remember the day when you came forth out of the land of Egypt all the days of your life.