He was born Fred Rodgers on the 1st of July 1886. In Eastwood, Rotherham South Yorkshire.
Fold3 have this record (with image) but its for a RN chap:
UK, World War I Pension Ledgers and Index Cards, 1914-1923Name: Frederick Rodgers
Residence Place: Eastwood View Rotherham
Service Number: 72/5393
Corps, Regiment or Unit: Abbe Smn., R.N.
The image indicates his address was
35 Foljambe Road, Eastwood View.
Discharge date: 3 February 1919 Served on HMS Victory VI
UK, Naval Medal and Award Rolls, 1793-1972Name: Frederick Rodgers
Medal or Award: Star, Victory Medal, British War Medal
Service Year: 1914-1920
Service Location: Europe
Campaign or Service: World War I
Service Number: T Z/5393