The Artscroll footnote on kinna 27 actually addressed this.
After mentioning that some versions have 26 and 27 reversed, and the subject in 27 makes an appropriate introduction to 26, the footnote continues
According to our sequence, this kinnah congress later because its main theme is an event that occurred after the Destruction, as related in Pesikta Rabbosi (27): When Jeremiah returned to Jerusalem he met a woman sitting on a mountaintop, clothed in black, her hair disheveled. 'Who will console me?' she cried out. Jeremiah responded sternly, if you are a real woman, speak to me, but if you are a spirit, depart!' 'I am your mother, Zion!' the woman responded. Jeremiah said to her 'God, Himself, will console you! Mortal men built you and mortal men destroyed you. But in the future, God, Himself will rebuild you as Scripture states: The Builder of Jerusalem is Hashem (Psalms 147:2).