Romantic art is not romantic in the contemporary sense. It’s not referring to romantic comedies, or relationships. The meaning has changed since the 19th century. If you describe a person, saying “she is a Romantic” you would be closer the right meaning and usage of the 19th century usage.
The period we call Romanticism covers, generally speaking, from the 1800-1860’s. Its themes were grand! The use of one’s imagination and intuition were valued over rational thought. Rational thought brought revolution, war, and destruction. Francisco Goya’s etching is a great example of Romanticism’s reaction to the Age of Enlightenment, and the pining to access something more human than just reason and logic. Many of the early Romantics turned to Nature for inspiration. The scale and the awe of nature became an ideal subject matter to express the inner life, the imagination and what it means to be human — a part of creation rather than separate from it. Our contemporary ideas of connecting Romance to travel, distant lands, awe-inspiring landscapes, can be directly linked back to the art, music and writing of this period.
Reed Enger, "Romanticism, Artistic revolt against the Age of Enlightenment," in Obelisk Art History, Published January 27, 2015; last modified July 21, 2019, http://arthistoryproject.com/timeline/industrial-revolution/romanticism/.
The birth of science out of fire1734-1797
I didn't know Picasso but he knew me1746-1828
Nature wins, every time1776-1837
The quiet tragedy of the big big world1774-1840
Every age has its Star Boy — might as well be J.M.W. Turner1775-1851
Drama, movement and a search for the exotic1798-1863
Bigger is better1798-1863
Father of Horror, Father of Fantasy1832-1883
Hard luck in the land of supernatural beauty1804-1887
A military painter sponsored by the state—smells like propaganda1817-1900