Hodges boarded the ship on her voyage to New York City from Southampton on 10 April 1912, having spent £13 on his second-class ticket.
His letter was postmarked Queenstown, the former name for the Irish port of Cobh, the Titanic’s final stopping point before heading out to the Atlantic.
In his letter, Hodges wrote about the “fine” weather and the atmosphere on the ship.
It said: “Dear Hector, very many thanks for the telegram and for the good wishes. It was a kind and thoughtful act and much appreciated, and you will please convey my thanks to the members of our association.
“Wasn’t it good of the President to come and see me off? I almost believe I could have persuaded him to come along. We have had a fine time up to now.
“You do not see anything of the movement of the ship, but the weather is very fine.”
He also described that everything was “quite different to what you would expect to see at sea” and said he saw about 200 boys marching round and singing, playing dominoes and cards on the top deck.