A comprehensive, very detailed biography on the MUGi website (https://mugi.hfmt-hamburg.de/receive/mugi_person_00000422) lists Johanna Kinkel as: composer, pianist, music teacher, writer, choir director.
She has only once been mentioned here, and that was almost ten years ago.
In a 2007 review in
Fanfare of a CPO double album of 32
lieder entitled 'An Imaginary Voyage through Europe' Christopher Williams called it
Quotesalon music in the extreme, but nonetheless interesting for that.
The album, with Ingrid Schmithüsen and Thomas Palm, is (currently) unavailable as a physical disc, but there is still a download option, e.g. from Presto (https://www.prestomusic.com/classical/products/7950487--johanna-kinkel-an-imaginary-voyage-through-europe).
Her bird cantata is on Youtube, here (https://www.youtube.com/watch?v=9wIm6E2fav4&list=RD9wIm6E2fav4&start_radio=1).
The story of her life is like a novel! She studied music with Franz Ries, who also taught to the young Beethoven in Bonn, and later with Wilhelm Taubert in Berlin, where she is said to have met Felix and Fanny Mendelssohn. Meanwhile, Johanna's first marriage had been a disaster; she managed to divorce the man only after years, then found real love and remarried. She had the opportunity to teach music and conduct a choral society, and she published lieder cycles (rather well received at the time).
A few years later, Johanna and her husband both took part in the 1848 German Revolution, their actions in Bonn including political publications in newspapers (Johanna also composed a Demokratenlied!). Her husband's political actions led him to being put in jail and giving a death penalty. They planned a successful prison break, but had to escape to England to stay alive.
Johanna's life was cut short when she died mysteriously in London, having "felt from a window"...