The parasol is the umbrella's daughter — Umbrella Pine

This poem combines parasol and umbrella pine with Shakespeare's The Tempest. The use of tempest, father, daughter, and this day hint at Prospero's revenge in one day.

The parasol is the umbrella's daughter, 1
And associates with a fan
While her father abuts the tempest
And abridges the rain.

The former assists a siren 5
In her serene display;
But her father is borne and honored,
And borrowed to this day.
(F.1765/J.1747)
[1] parasol:: parasol pine (OED 3); the daughter. umbrella:: umbrella pine (OED 10b); the father.
[2] fan:: the shape of parasol and umbrella pine.
[3, 4] tempest, rain:: the larger tree covered the smaller one.
[5] siren:: an eel-like amphibian. The former:: the parasol pine.
[7] borne:: endured, sustained.
[8] borrow:: to give security for, take on pledge (OED 1).

The Tempest

[1] parasol:: a sunshade used by persons of high rank in the East, and hence, by women in Europe (OED 1). daughter:: Miranda, Prospero's daughter.
[1] umbrella:: a means of shelter or protection (OED 4a), indicating Prospero.
[2] fan:: a wing as protection.
[3] the tempest:: name of the play The Tempest by Shakespeare.
[5] siren:: one who sings sweetly, charms, allures, or deceives (OED 3); Miranda's lover Ferdinand.
[6] her serene display:: Miranda's nature.
[7] her father:: Prospero, the Duke of Milan.
[8] borrowed to this day:: Prospero borrowed this one day to revenge.

It is variously called the maritime and stone pine, from its fondness for rocky situations near the coast; but its peculiar and very picturesque form is best described by the name it sometimes goes by, of umbrella pine; ─ Sketches Descriptive of Italy (1820)

The Parasol Pine took my eye first. ─ Journal of Horticulture and Practical Gardening (1861)