The name Beer-lahai-roi means “well of the Living One who sees me.” This name and Ishmael were a message and a rebuke for Abram and Sarai (see 16:11). God notices suffering and listens to those crying out in need.
Sarai and Abram should have prayed instead of trying to fulfill the promise themselves by following a social custom (compare 25:21). Giving children to a woman who cannot have them is God's work (Psalm 113:9; compare 1 Samuel 1:1–28; Luke 1:1–25). Humans cannot solve impossible problems. The Lord hears those who suffer, sees their needs, and will provide for them in miraculous ways.