Kana in Lebanon is not the Cana where Jesus turned water into wine.

 

Cana is within walking distance of Nazareth, where Mary, Joseph and Jesus lived.

 

    CANA (ka'na).
    Cana of Galilee is mentioned four times in John 2:1, 11; 4:46; 21:2 and nowhere else.    It was in the highlands of Galilee, as one had to go 'down' from there to Capernaum; but opinions differ as to its exact loaction.
    It may have been at "Kefr Kenna," about five miles (8 km) NE of Nazareth, or at "Khirbet Kana a little farther north.
    Here Jesus performed his first miracle, graciously relieving the embarrassment caused by the shortage of wine at a marriage feast.    It was here too (John 4:46) that he announced to the nobleman from Capernaum the healing of his apparently dying son, Nathaniel who came from Cana (John 21:2).
    There is a modern village of Cana of Galilee.

http://www.mazzaroth.com/ChapterSix/Cana.htm

 

Kana in Lebanon is way to far to the North http://fallingrain.com/world/LE/5/Hayy_al_Kanais.html