I don't wish to throw a damper on this as you have been very helpful Wizz, but the IGI on familysearch cannot always be taken as gospel. Some records are user submitted and should be taken with a large pinch of salt. Others, such as this one, are actually extracted from parish records.
However they are still transcriptions and errors creep in. Your own transcription of the page has two errors itself, just to prove my point. Firstly this is the date of baptism/christening, not birth. Secondly the father is named as Peter Carrot, not Robert.
Finally, the IGI is nowhere near a complete index of parish records. Although it throws up possibilities, there may be others that are not included in the IGI. Not meaning to pick on anyone, just advising a little caution!
Heather