Yes, but the second meaning is directly derived from the word Gravity and the observation of the effects of gravity.
Are you sure? 5 minutes of research seems to be pointing in the direction of the opposite.
From wikipedia "Newton's Law of Universal Gravitation"
It is a part of classical mechanics and was formulated in Newton's work Philosophić Naturalis Principia Mathematica ("the Principia"), first published on 5 July 1687.
Take note of the date.
Here is the interesting bit, seemingly indicating that the word gravity is actually derived from the word gravitation.
gravitate (v.)
1640s (Take note of this as the time of the first usage of the word "gravitate".), "exert weight, move downward," from Modern Latin gravitatus, past participle of gravitare "gravitate," from Latin gravitas "heaviness, weight" (see gravity). Meaning "To be affected by gravity" is from 1690s. Figurative use from 1670s. Related: Gravitated; gravitating. The classical Latin verb was gravare "to make heavy, burden, oppress, aggravate."
Sir Isaac Newton was born on
January 4, 1643.
Surely you're not insinuating that Newton developed his theory before he was
but 10 years old.
Or are you?