Question: Who was the author that wrote the nursery rhyme that has the Round Folk Song Index number of 7622?

Context paragraphs:
Did You Ever See a Lassie?: "Did You Ever See a Lassie?"  is a folk song, nursery rhyme, and singing game.  It has a Roud Folk Song Index number of 5040.

Billy Boy: "Billy Boy" is a traditional folk song and nursery rhyme found in the United States.  It has a Roud Folk Song Index number of 326.  It is a variant of the traditional English folk song "My Boy Billy", collected by Ralph Vaughan Williams and published by him in 1912 as number 232 in "Novello's School Songs".  The song is very popular with the Orange Order.

Mary Had a Little Lamb: "Mary Had a Little Lamb" is an English language nursery rhyme of nineteenth-century American origin.  It has a Roud Folk Song Index number of 7622.

A Wise Old Owl: "A Wise Old Owl" is an English language nursery rhyme.  It has a Roud Folk Song Index number of 7734 and in The Oxford Dictionary of Nursery Rhymes, 2nd Ed.  of 1997, as number 394.  The rhyme is an improvement of a traditional nursery rhyme "There was an owl lived in an oak, wisky, wasky, weedle."

Row, Row, Row Your Boat: "Row, Row, Row Your Boat" is an English language nursery rhyme and a popular children's song.  It can also be an "action" nursery rhyme, whose singers sit opposite one another and "row" forwards and backwards with joined hands.  It has a Roud Folk Song Index number of 19236.

Tweedledum and Tweedledee: Tweedledum and Tweedledee are fictional characters in an English nursery rhyme and in Lewis Carroll's "Through the Looking-Glass, and What Alice Found There".  Their names may have originally come from an epigram written by poet John Byrom .  The nursery rhyme has a Roud Folk Song Index number of 19800.  The names have since become synonymous in western popular culture slang for any two people who look and act in identical ways, generally in a derogatory context.

Liberia; or, Mr. Peyton's Experiments: Liberia; or, Mr. Peyton's Experiments is an 1853 novel by Sarah Josepha Hale, the author of the nursery rhyme "Mary Had a Little Lamb", who wrote the novel under the name of Sara J. Hale.

Three Little Kittens: "Three Little Kittens" is an English language nursery rhyme, probably with roots in the British folk tradition.  The rhyme as published today however is a sophisticated piece usually attributed to American poet Eliza Lee Cabot Follen (1787–1860).  With the passage of time, the poem has been absorbed into the "Mother Goose" collection.  The rhyme tells of three kittens who first lose, then find and soil, their mittens.  When all is finally set to rights, the kittens receive their mother's approval and some pie.  It has a Roud Folk Song Index number of 16150.

Lavender's Blue: "Lavender's Blue" (sometimes called "Lavender Blue") is an English folk song and nursery rhyme dating to the 17th century.  It has a Roud Folk Song Index number of 3483.  It has been recorded in various forms since the 20th century and some pop versions have been hits in the US and UK charts.

Aiken Drum: "Aiken Drum" is a popular Scottish folk song and nursery rhyme, which probably has its origins in a Jacobite song about the Battle of Sheriffmuir (1715).  It has a Roud Folk Song Index number of 2571.

Supporting paragraphs: Liberia; or, Mr. Peyton's Experiments Mary Had a Little Lamb
Answer: Sarah Josepha Hale