Police chief H. H. Mueller stands holding and looking at a sheet of paper in his right hand. Harriet Hunter stands smiling at the camera while J. L. Nickell holds her right hand is both of his to take her fingerprints. Below her hand is a plate for inking. An ink roller lies parallel to the plate. Also on the desk is a corked bottle and a ROI-TAN cigar box. A rotary phone is on the next table over.
ANSWER: What is pictured in the photo is, of course, a mission. And the only mission within Los Angeles city limits is, despites its name, the San Fernando Mission, located on San Fernando Mission Road (surprise!) just east of Sepulveda Blvd. Founded in 1797, it was the 17th in the California mission chain.