According to the Polk County, Florida Sheriff's Office website:
James M. Langford (1919)
Although there are no officials records, Langford descendants advised that Sheriff Logan took a brief leave of absence in 1919 for health reasons and that James Langford was appointed as interim Sheriff.
This does appear to be the same James M. Langford, but I can find no documentation to prove it, nor have I been able to locate a photograph. Findagrave.com lists this James M. Langford as buried at Roselawn Cemetery in Lakeland, Polk County, Florida and there is a photograph of his grave marker.