In 1906 The Delineator magazine published an article about quilts by Jean Thompson. She included several patterns with their names, one of which she called Tippecanoe Club (left side, 2nd from bottom).
Her Tippecanoe Club was a popular pattern despite its complex pieced curves. Here are some of
the published variations from BlockBase. Hers is most like BlockBase #3103, which was published in the Kansas City Star as a tulip block.
A Tippecanoe Club was a Whig political club, described in Boon’s Lick Times in June, 1840:
The quilt pattern probably refers to the second incarnation of Tippecanoe Clubs in the 1880s when Harrison's grandson Benjamin Harrison ran for president as a Republican. The ribbon below is from Benjamin Harrison's second unsuccessful campaign in 1892.
"The meeting proceeded to organize a Tippecanoe Club - for the purpose of promoting by all fair and honorable means, the election of Gen. Wm. Henry Harrison and John Tyler to the Presidency and Vice Presidency of the United States."
Tippecanoe Clubs continued as political organizations into the 20th century.
For more about the quilt pattern see this post: