Is this method of association considered correct, and is there sin incurred for lying to parents about how the young man was met?

For legitimate and safe methods of introduction between young people with the intention of marriage, each should inquire about the other through their families. As for introductions via phone or internet, they are a gateway to corruption that must be guarded against. Lying to parents is a major sin unless there is a significant legitimate interest. If a man proposes to your family and he is satisfactory in his religiosity and character, there is no harm in accepting him, and you can use indirect allusions when answering about the nature of your relationship.