Flag created by CincyFlags for the neighborhood. 
Its symbolism, according to CincyFlags in [1]:
"A stylized pin oak leaf representing the trees that were planted in the front yards of houses when the neighborhood was established.
A green hill for the old farmlands that used to make up the neighborhood. The curved, wave-like shape evokes the winding Miami &amp; Erie canal that used to run along Tennessee Avenue.
A stylized “A” shape for the striking Tudor-style houses in Paddock Hills.
Orange, White and Yellow are warm colors taken from the old neighborhood sign.

Green for the vibrant nature and Avon Woods Preserve."
Own work using: https://www.cincyflags.com/paddock-hills
CincyFlags