HIR,
You are correct. This passage from Deut 22 demonstrates the Old Covenant view of adultery vs fornication:
Deuteronomy 22:22-29 New Living Translation (NLT)
22 “If a man is discovered committing adultery, both he and the woman must die. In this way, you will purge Israel of such evil.
23 “Suppose a man meets a young woman, a virgin who is engaged to be married, and he has sexual intercourse with her. If this happens within a town, 24 you must take both of them to the gates of that town and stone them to death. The woman is guilty because she did not scream for help. The man must die because he violated another man’s wife. In this way, you will purge this evil from among you.
25 “But if the man meets the engaged woman out in the country, and he rapes her, then only the man must die. 26 Do nothing to the young woman; she has committed no crime worthy of death. She is as innocent as a murder victim. 27 Since the man raped her out in the country, it must be assumed that she screamed, but there was no one to rescue her.
28 “Suppose a man has intercourse with a young woman who is a virgin but is not engaged to be married. If they are discovered, 29 he must pay her father fifty pieces of silver.[
a] Then he must marry the young woman because he violated her, and he may never divorce her as long as he lives.
Oz