This rare kanji has no clear standalone meaning. Treat its meaning as uncertain.
鴴 combines 行 (go, move) with a bird component, likely a variant of 鳥. The exact historical development is uncertain, but it may have originally referred to a type of bird, possibly a plover or sparrow, given the kun readings すずめ (sparrow) and ちどり (plover).
The left side 行 suggests movement, and the right side looks like a bird. Picture a bird in flight, moving through the sky.
For コウ, imagine a bird flying in a wide arc, making a 'koh' sound as it glides: koh -> コウ.