[NYer]

Is there any evidence which points to the Apostles taking pieces of the cross with them as they spread the word far and wide?

The cross and titular were buried and later unearthed by the Emperor Constantine's wife, Helena, around 325 AD. You can follow the story, here. True Cross.

[Portcall24]

Thank you so very much. Our FR community is truly an exceptional place as evidenced by your knowledgeable response.