  A promising channel for producing binary black hole mergers is the
Lidov-Kozai orbital resonance in hierarchical triple systems. While this
mechanism has been studied in isolation, the distribution of such mergers in
time and across star-forming environments is not well characterized. In this
work, we explore Lidov-Kozai-induced black hole mergers in open clusters,
combining semi-analytic and Monte Carlo methods to calculate merger rates and
delay times for eight different population models. We predict a merger rate
density of $\sim$1--10\,Gpc$^{-3}$\,yr$^{-1}$ for the Lidov-Kozai channel in
the local universe, and all models yield delay-time distributions in which a
significant fraction of binary black hole mergers (e.g., $\sim$20\%--50\% in
our baseline model) occur during the open cluster phase. Our findings suggest
that a substantial fraction of mergers from hierarchical triples occur within
star-forming regions in spiral galaxies.
