Pulling rushes to spread a seat; taking a lotus leaf for a canopy.
楚辞 · 尊嘉· our translation
芙蕖 is the lotus; here its leaf is used as a canopy. In a name 芙 is the first half of the flower's name, usually paired with 蓉.
「芙蕖」就是荷花。这里拿荷叶当伞盖——「芙」在名字里是这朵花名字的前一半，多与「蓉」连用。
芙蓉芙蕖出水芙蓉芙蓉芙蕖芙之晓芙
In a name
芙 rarely stands alone; it is half of 芙蓉, and in a name the two characters make the flower together.