" My 4th Great Granduncle's correct full name should read as follows Francisco Esteban Galván de la Cueva as the baptismal record itself clearly shows."
Can this be corrected?
Your question will be forwarded to the search team for review and assistance. You may be contacted by that team if they need more information. It appears that you are looking at a record that has already been published so your question would be more appropriately answered by that team.
An uncorrectable index may be due to image restrictions (since images are central to the correction process), or a decision from the record custodian (i.e. outside FS's control). I've also noticed that ongoing indexes -- ones where parts have been published but other parts are still being worked on in Indexing -- are often not editable. I surmise that corrections would be one complication too many in the index-publishing-and-propagation process. We've been told that FS is continually working on making more indexes correctable, so it may help to check back in a few months or years.
In the meantime, the thing to keep in mind is that the index is not the data. It is merely a finding aid for the data. If it helped you find the record -- which it clearly did -- then the index served its purpose.
I am just another 'lowly' User/Patron ...
Further to what 'Julie' has already proffered ...
Here are some "Knowledge Articles", in 'FamilySearch':
Where it states, among other things:
Here are a few common reasons why you cannot correct a transcription error that you find.
You can edit incorrectly indexed names, dates, and places on some record collections.
That Said ...
I know that this may certainly not help/assist; but, I hope that this provides you you with some additional, insight; and, perspective.