The young man would spend hours carving the spoon with his own hands, in the hope that the girl would accept it. If the girl accepted the spoon, she would demonstrate her interest in him and they would commence on a relationship, which is the origin of the word 'spooning'.
Young men had a lot of time on their hands during the long winter evenings, and while some would turn to poetry or composing songs, others would carve all kinds of things such as kitchen utensils or toys for the children from spare pieces of wood.
It is easy to imagine a young man after a hard day's work, in a period of no radio or television or cars, spending his leisure time during dark evenings carving a spoon for the girl he loved. Spoons could also suggest food on the table, and a cosy family life, which would impress on the girl his ability to care for her and a family.