Some tidbits of info:
Bethphage is thought to be the name of a town, but no one has ever been able to determine where that town was.
In the local language, which is rooted in Hebrew, "Beth" means "House," and "phage" means "an unripe fig."
In all of Scripture, "Bethphage" is only found written three times, with all three pertaining to the same story of preparation for the triumphal entrance into Jerusalem. It is found once in each: Mark 11, Matthew 21, and Luke 19.
In all the times I had read this (or heard it read aloud in church), no one ever explained any of that to me.