I need to apologize, I forgot to reply back to Christine.
If I remember correct, This is the workflow that I used for this area. I don't think this is the best workflow, so it does not come with any guarantees. Nor can I say that this is simple as it should be.
1) Drew in the parcel from the legal. Since the points on the parcel did not fit within the tolerance, I ignored the error, and left the gap.
2) Unjoined the new parcel.
3) Deleted the other parcel in that quarter section.
4) Rejoined the new parcel, this time forcing it to snap to the lines.
5) Then I used the parcel remainder tool to build the other parcel in the quarter-section. Or I might have selected "Construct from parent" again.