Elishua (אֱלִישׁוּעַ) combines El (God) and shua (a cry for help; deliverance). The meaning is "God is my salvation" or "My God delivers when I cry out." It appears in 2 Samuel 5:15 and 1 Chronicles 14:5 as the name of one of David's sons born in Jerusalem.
The name belongs to the royal family of David, declaring in its syllables that God rescues when His people cry out. The root shua is used of desperate cries to God (Psalm 34:6). This anticipates Christ, who hears the cry of the desperate and answers with deliverance. Every time David spoke his son's name, he confessed the covenant God who delivers His people from their extremity.