Sense and Sensibility (1995)

Continuity mistake: In the scene where Lucy Steele admits to Fanny Dashwood that she is secretly engaged to Edward, Lucy starts the scene holding a lapdog. When Fanny explodes and attacks Lucy, the dog has disappeared from the set.

Colonel Brandon: Miss Dashwood, Miss Marianne - I come to issue an invitation. A picnic on my estate at Delaford if you would care to join us on Thursday next. Mrs. Jennings daughter and her husband are traveling up especially.
Elinor Dashwood: We should be delighted, Colonel.
Colonel Brandon: I will of course be including Mr. Willoughby in the party.
Marianne: I shall be delighted to join you, Colonel.

Trivia: In the scene where Marianne, Eleanor, Lucy, and Mrs. Jennings enter Mrs. Jennings house in London for the second time, Marianne asks Pigeon if any letters had arrived, watch Lucy in the background, she is playing with the parrot on its perch and it tries to bite her.

Question: Very near the beginning, Marianne is playing this tune that she says was her father's favourite and Elanor tells her to stop. What is the tune and is it possible to find music for it? It's not the 'Weep You No More Sad Fountains' one.