To what extent had the US fulfilled its promise to be a City upon a Hill, by the end of the 19th century?I would just like to know some events...

I think that the starting elements you have featured are fairly good.  I would also include on this list the articulation of how the nation came into being.  The Declaration of Independence helped to articulate the vision of what America is to stand for and the ideals to which it aspires.  In this light, it became the blueprint for the nation in articulating and demanding freedom.  Other nations have appropriated this document in their own struggles to be free. Along these lines, the document's implicit demand for rights on both a political and economic level have also played a vital role in the demands of freedom in other social and political settings.  I think that the Washington's Farewell Address might also do much to symbolize how the nation could be vaulted to the top of a hill.  In reaching out for a political system that is not predicated upon factions and internal division, Washington helped to show that political orders can be heterogeneous, but committed to the overall function of a nation.  In this light, political structures are meant to bring people together and not drive them apart.