Thank you for sending the links to the baptism records. I have grown stronger in confidence that the information on these trees are correct. Especially finding out that John was in the DragoonGuards.
I suspect that the records on ancestry are, as they often are, 'indexed records' from Family Search, billed as England & Wales births and baptisms dataset.
Nothing wrong with that as long as folk are aware that these type of datasets are bare bones transcripts which are a 'pointer' to finding and viewing the original records to see if there 'may' be more info that has not been transcribed.
For the time period and area of Edmund's baptism the Bishop, Shute Barrington had an interest in genealogy and decreed that the clergy included genealogical info such as that found in the Bishops transcript image I gave you a link to.
The potential 'extra' info can be invaluable and can make a huge difference to the decision whether or not a particular record is the right one or not.
Bottom line is, no matter what a tree says, no matter what a barebones (child's name, names of parents and dates) record says its always worth firkling round to see if we can see the original record on the offchance that an extra tiny bit of info will get us further forward (or, indeed, backwards!)
The good news is that if you are unsure you have now found a place to ask questions and find out a little more about the how and where to search and find the info you need.
Stick around, read the posts, ask for help if you need it. It will pay dividends :-)
Boo