Massachusetts Republican Party
The Massachusetts Republican Party was founded in 1854. Drawing together abolitionist and nativist anti-Catholic elements, it quickly became the dominant political force in the state and a powerful arm of the national Republican Party. Significant founding figures include Senator Charles Sumner, formerly of the Free Soil Party, and Speaker of the House Nathaniel Prentiss Banks, formerly of the American Party. 
At the time of the Republican Party's founding in 1854, all of Massachusetts's congressional representatives but Sumner were members of the nativist Know-Nothing Party. However, Banks's role as chairman of the 1856 Republican National Convention, his active support for the Republican presidential nominee John C. Frémont in 1856 and his focus on anti-slavery legislation as Speaker put him at odds with his party. Following the Democratic victory in the 1856 elections and the Dred Scott case in 1857, the national American Party organization collapsed, and most Northern members joined the nascent Republicans. In 1857, Banks ran as a Republican against incumbent Know-Nothing Governor Henry J. Gardner and won a decisive victory.
Liberal Republican Party (United States)
Originally liberal republicans advocated for a return to traditional classical republicanism, and were concerned about corruption and centralized power creeping into the Federal government and they wanted to reform the Republican party. As the liberal republicans began to form a political party, a few years later, it was taken over by others who were anti-Grant and anti-reconstruction. 
The party began in Missouri in 1870 under the leadership of Carl Schurz and spread nationwide. It had strong support from powerful Republican newspaper editors such as Murat Halstead of the "Cincinnati Commercial", Horace White of the "Chicago Tribune", Henry Watterson of the "Louisville Courier-Journal", Samuel Bowles of the "Springfield Republican" and especially Whitelaw Reid and Horace Greeley of the "New-York Tribune". Many Liberal Republican leaders had been Democrats and members of the Free Soil Party before joining the Republican Party after its creation in the 1850s.