To what does the "third day" (John 2:1) refer?
It refers to 3 days from the end of the previous "chapter". When originally written in Greek, the Gospel of John and the other New Testament books were not marked with chapter or verse numbers. That was done much later to make it easier to identify passages.
Where is "Cana" (John 2:1)?
Cana is in the Galilee region, about 12 miles west of the Sea of Galilee and about 15 miles east of the Mediterranean Sea.
Why do you think Jesus and his disciples were invited to the wedding at Cana?
Mary is probably one of the people organizing the wedding.
What clues are there?
She tells the servants what to do, knows the wine has run out even before the master of the wedding feast, and the wine being gone is of "concern" (John 2:4) to her.
Why would she be concerned about the wine running out at the wedding feast?
In those days, wine was the only drink other than water. Running out of wine at a wedding feast would be comparable to a wedding reception today running out of all drinks except for tap water, and the Jewish wedding receptions back then lasted for 7 days!
Why would she be helping to run a wedding feast in the first place?
It’s probably the wedding of a relative, hence the invitation to Jesus as well, and it was customary for the disciples of a rabbi to go everywhere he went.
What do you think of Jesus’ reply to Mary?
While the original Greek for "Woman" (John 2:4) isn’t derogatory, the fact that Jesus addresses His mother with this term and that the Bible records it are significant.
Jesus must have called her, 'mother' growing up. Why does He now call her "Woman"?
Since His ministry had commenced, Jesus was differentiating Himself - God the Son - from her, a human vessel through whom God chose to come into the world.
If His ministry had commenced, why did He say, "My hour has not yet come" (John 2:4)?
The term, "my hour" refers not to His ministry but to his final confrontation with the Jewish leaders that would lead to the cross. The timing of that had to be precise and Jesus knew that His miracles would draw the attention of the Jewish leaders. We will read other references to His time not yet coming until the final chapters of John.
What did Mary say?
"Whatever He says to you, do it." (John 2:5)
What else does the Bible quote Mary as having said after this?
Nothing else. These are the final words that God, the author of the Bible, chose to quote from Mary. So anyone who believes in or prays to Mary for guidance should heed her and do whatever Jesus, whom the Bible refers to as the Word of God, says to do.