Hi Dean
I've been back to the RO today and tried once more to find John Kent and Emma Brown but they are so elusive!!
They were not baptised at either Gunton or Carlton Colville. I checked with the research assistant and she tells me that Lowestoft St Peter's was a chapel of ease and no baptisms were performed there (the ones in this parish would have been done at St Margarets). Also the records for baptisms at Christchurch start in 1867 - I questioned whether there were any prior to this date, and she told me that the church came into being in 1867, so no baptisms before this date.
I also double checked St John's (but they still weren't there

)
I was able to find the baptisms of their two children though, both baptised at St Peter's, Kirkley.
Frank Henry Frederick
s/o Frank William and Emma Kent
born 5th September, baptised 29th October 1893
Father = a labourer
Kathleen Olive Kate
d/o Francis William and Emma Kent
born 18th November, baptised 8th December 1895
Father = a labourer
I know there are discrepancies here compared to your tree, but this is as stated in the transcript.
Best wishes
Anne