Conversation so far:
When did Mary Shelley write Frankenstein?
Mary Wollstonecraft Shelley was an English novelist who wrote the Gothic novel Frankenstein; or, The Modern Prometheus (1818).
What did Mary Shelley have to do with Lake Geneva?
In May 1816, Mary Godwin, Percy Shelley, and their son travelled to Geneva with Claire Clairmont.
what did Mary Shelley and her family do while they were at Lake Geneva?
The company amused themselves with German ghost stories.
What did Mary Shelley and her family write while they were at Lake Geneva?
The company amused themselves with German ghost stories, which prompted Lord Byron to propose that they each write a ghost story.

Question: Did they write the ghost story?
Self-contained rewrite: Did Mary Shelley write the ghost story that Lord Byron suggested?