Question: What ballad is the lullaby written and composed by Effie Crockett based on?

Context paragraphs:
Effie Crockett: Effie Crockett (1857 - January 7, 1940), also known as Effie I. Canning, also known as Effie C. Carlton, was an American actress.  She is credited with having written and composed the lullaby "Rock-a-bye Baby"; by some accounts she created the song in 1872 while babysitting.  Because of "Rock-a-bye Baby", she is credited in over 100 films, many made decades after her death.

Suo Gân: Suo Gân (] ) is a traditional Welsh lullaby written by an anonymous composer.

Dream On (An Indian Lullaby): "Dream On (An Indian Lullaby)" is a popular song written by B.G. DeSylva with music composed by Herbert Victor.  The song is a Cherokee mother's lullaby to her child.  The lyrics as first written are:

The Countess (play): The Countess is a play written by American author Gregory Murphy.  Based on one of the most notorious scandals of the Victorian era in Britain, the play depicts the break-up of the marriage between John Ruskin and Effie Gray.

Basque lullaby: A Basque Lullaby is a lullaby written by Florence Hoare and published in The American Song Book: A Collection Of Songs And Hymns For Use In Schools And Homes in 1917.

Hine E Hine: "Hine E Hine " is a Māori lullaby written by Princess Te Rangi Pai (Fanny Rose Howie née Porter) (1868–1916) in 1907.

Jeanie Deans (play): The play Jeanie Deans was written by Dion Boucicault in 1860.  It was based on Sir Walter Scott's novel, "The Heart of Midlothian" and is named after the heroine of the novel, Jeanie Deans.  This play was also published as 'The Trial of Effie Deans' or 'The Heart of Mid-Lothian', but they are definitely the same play as 'Jeanie Deans'.  It was first produced on 9 January 1860 at Laura Keene's Theatre, New York City.  It was produced in London at the Westminster Theatre on 26 January 1863 under the title of 'The Trial of Effie Deans'.  The play seems not to have been performed in the 20th century.  Thomas Hailes Lacy seems to have incorporated Boucicault's play in a later publication entitled: "The Heart of Mid-Lothian; or, the Sisters of St. Leonard's"

Rock-a-bye Baby: 'Rock-a-bye Baby' is a nursery rhyme and lullaby.  The melody is a variant of the English satirical ballad Lillibullero .  It has a Roud Folk Song Index number of 2768.

Smile In Your Sleep: "Smile In Your Sleep", sometimes known as "Hush, Hush, Time To Be Sleeping" (Scots: "Hush, Hush, Time Tae Be Sleepin") is a Scottish folk song and lullaby written by Jim McLean and set to the tune of the Gaelic air, "Chi Mi Na Mòrbheanna" (literally "I will see the great mountains", or "The Mist Covered Mountain").  It follows the experiences of crofters during the Highland Clearances through eviction and emigration.

Crockett's Theme: "Crockett's Theme" is an instrumental song written for the hit NBC series "Miami Vice".  The surname Crockett refers to Don Johnson's character, James "Sonny" Crockett.  The initial version of the theme first appeared in the episode Calderone's Return: Part 1 – The Hit List which aired on 19 October 1984.  The song was composed by Jan Hammer.

Supporting paragraphs: Effie Crockett Rock-a-bye Baby
Answer: Lillibullero