Here's some info from Ceolas:

ALLIE CROKER. AKA - "Ally Croaker," "Ally Crocker," "Alley Crocker." AKA and see "Alas My Little Bag," "Stick the Minister," "The Shamrock Cockade." Scottish, Irish, English, American, Canadian; Reel, Country Dance. USA, New England. D Major. Standard. AB (Kerr's, Messer): ABB (Brody): AABB (Miller & Perron, Sloanaker, Sweet). This song, as "Ally Croker," was written and music composed by Lawrence (Larry) Grogan of Johnstown Castle, County Wexford, who was reknowned as a "gentleman piper" and composer of Irish airs (Grogan, by the way, was the first performer on the improved version of the Irish pipes called the uilleann or (archaically) Union pipes). It is his most famous composition. Both the air and song date from 1725, according to Crofton Croker, with single sheet editions of the song from c. 1730 and c. 1740 extent. The lyrics describe the vagarancies of a disappointed suitor of Miss Alicia Croker, the sister of Edward Croker, High Sheriff of County Limerick (for more on Larry Grogan and Alicia Croker see T.C. Croker's Popular Songs of Ireland). It quickly found favor and was adopted by ballad singers, inform Flood (1906) and O'Neill (1913), and was soon introduced into the play Love in a Riddle (1729), Sam Foote's comedy The Englishman in Paris (1753, in which the lyrics were slightly revised and the tune called "Ally Croaker," by which spelling it usually appears after this date), and Kane O'Hara's Midas (1760). The tune was printed by Rutherford c. 1754 in his Choice Collection of 60 Country Dances.
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In 1803 the air was wedded by George Colman to a song entitled "The Unfortunate Miss Bailey" and Tom Moore used it for his lyric "The Shamrock." The English musicologist Chappell claimed the air was English because of its appearence in "Love in a Riddle," however, Flood asserts Larry Grogan is the author/composer due to a reference to the tune by Pierce Creagh of County Clare in his 1730 "The County of Limerick Buck Hunt." Creagh may have been partisan though, for he and Grogan were great friends (Creagh even named one of his race horses after him-- "Larry Grogan" won at least one purse for its owner). "Allie Crocker/Croaker" continued to be in vogue throughout the century and was the air set to the song "The Shamrock Cockade," popular in Munster with the Irish Volunteers (1774-1784). It is one of the "lost tunes" from William Vicker's 18th century Northumbrian dance tune manuscript. Brody (Fiddler's Fakebook), 1983; pg. 21. Cole (1001 Fiddle Tunes), 1940; pg. 8 (appears as "Ally Croaker"). Kerr (Merry Melodies), Vol. 1; No. 9, pg. 22. Messer (Way Down East), 1948; No. 6. Messer (Anthology of Favorite Fiddle Tunes), 1980; No. 26, pg. 26. Miller & Perron (New England Fiddlers Repertoire), 1983; No. 135 (Appears as "Alice Crocker's Reel"). Sweet (Fifer's Delight), 1964; pg. 47. Fretless 119, Rodney and Randy Miller- "Castles in the Air."
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