Did Saul have a legal right to give David's wife away (1 Sam. 25:44)?
No.
Deuteronomy 24:
1
If a man marries a woman, but she becomes displeasing to him because he finds some indecency in her, he may write her a certificate of divorce, hand it to her, and send her away from his house.
David had never issued this certificate of divorce.
Exodus 20:
14
You shall not commit adultery.
Leviticus 20:
10
“’If a man commits adultery with another man’s wife—with the wife of his neighbor—both the adulterer and the adulteress are to be put to death.
Isaiah 50:
1a
This is what the LORD says: “Where is your mother’s certificate of divorce with which I sent her away?
David didn't write the divorce paper. Saul had to right to give his wife away.
King Saul was not above the law, Deuteronomy 17:
18
When he takes the throne of his kingdom, he is to write for himself on a scroll a copy of this law, taken from that of the Levitical priests.
Saul may have considered David an outlaw. Does it matter?
No. Everyone had to follow the Law.