The first step in completing an analysis of "Ode on a Grecian Urn" is to read it, several times if necessary. After reading it several times, I noted the following observations on the title as part of my analysis:
Title Analysis: The first question I have is in regards to the title. It's not an ode to a Grecian urn; it's an ode on a Grecian urn, which would indicate, at least on the surface (no pun intended), that there is an ode on the actual urn. The poem begins as an ode should, with an apostrophe, the act of speaking to someone not there, or to an object, such as an urn, which means either the urn is speaking, unlikely even in a poem, or the poet is translating a picture on a Grecian urn into an ode.
As I continue reading, however, it's obvious the poet is speaking to the Urn about what's on the urn; it is, therefore, both an ode on a Grecian urn and an ode to a Grecian urn. The title, I'm guessing, is "Ode on a Grecian Urn" in order to emphasize the painting on the urn and not the speaker of the poem.