Kendrick is a city in Latah County, Idaho, United States. Its population was 303 at the 2010 census, a decrease from 369 in 2000. Founded as L…Kendrick is a city in Latah County, Idaho, United States. Its population was 303 at the 2010 census, a decrease from 369 in 2000. Founded as Latah or Latah City in 1889 by Thomas Kirby, a post office was established on May 24 with Kirby as the postmaster.