Then spake the woman whose the living child was unto the king, for her heart yearned over her son, and she said, Oh, my lord, give her the living child, and in no wise slay it. But the other said, It shall be neither mine nor thine; divide it.
1 Kings 3:24 And the king said, Fetch me a sword. And they brought a sword before the king.
1 Kings 3:25 And the king said, Divide the living child in two, and give half to the one, and half to the other.
1 Kings 3:26 Then spake the woman whose the living child was unto the king, for her heart yearned over her son, and she said, Oh, my lord, give her the living child, and in no wise slay it. But the other said, It shall be neither mine nor thine; divide it.
1 Kings 3:27 Then the king answered and said, Give her the living child, and in no wise slay it: she is the mother thereof.
1 Kings 3:28 And all Israel heard of the judgment which the king had judged; and they feared the king: for they saw that the wisdom of God was in him, to do justice.
The verse centers on "spake", "woman", "whose", "living", "child", "king", "heart", and "yearned". It is saying that the verse draws attention to "spake" and "woman", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 25's "And the king said Divide the living..." into verse 27's "Then the king answered and said Give...", so "spake" and "woman" belong inside that flow. In 1 Kings context, the local focus is covenant, worship, and faithfulness.
A plain takeaway is to answer the verse's own emphasis on "spake" and "woman" with trust shaped by these words, not by a vague optimism outside the passage.