Noah Webster
Rightly
RIGHTLY, adverb
1. According to justice; according to the divine will or moral rectitude; as duty rightly performed.
2. Properly; fitly; suitably; as a person rightly named.
3. According to truth or fact; not erroneously. He has rightly conjectured.
4. Honestly; uprightly.
5. Exactly.
Thou didst not rightly see.
6. Straightly; directly. [Not in use.]