There's a probable brother of John Rainer, William, who is baptised on 10 July 1763 at Lympne. There are two records of this date and another that has the same 10 July date but a later year, which is probably a transcription error rather than an infant death and later birth.
John, however, does appear to have been a second John. The first is baptised in 1772 at Lympne and a death recorded the same year at Burmarsh. The second John is baptised at Burmarsh in 1774.
Back to William. In the 1851 census, William Rainer, age 87, born Lime, Kent, turns up at Windsor. Lympne is pronounced Limm today but it looks as if this is evidence that it may have been different then, assuming there is no village called Lime in Kent. William appears to have raised a family in Berkshire from the 1790s onwards - there are four children, William, Henry, George and Richard (Richard dies at 2 yrs). In 1851, one of his grandchildren by son William is living a few doors away as a greengrocer. William senior is a "superannuated grocer". William senior is also in the 1841 census albeit transcribed as age 15 instead of 75.
William's sons are all sons of "William Rainer/Reaner/Rayner and Catharine". Fortunately, the names appear to be a unique combination in the area although I can't be 100% sure. However, the census returns show some street ties between William and George, while Henry is a twin of George. I can find wife Catharine's death but the marriage is trickier - the only match of name and likely date is one at Bath but the parents are not listed.
Other possible siblings of John:
Priscilla - baptised 1765 at Lympne (appears to die a year after marrying a Robert Cooper)
Robert - baptised 1768 at Lympne, buried 1778 at Burmarsh (baptism and burial have 'son of Robert and Elisabeth'
Thomas - baptised same date as John. Twin? Can't track him down at all.