Hi,
I'll have to disagree too
Being a volunteer transcriber myself , the rules are pretty clear : You are supposed to transcribe exactly what is written on the original document.
If on the census image the person's name is "Green", the transcription should not say Greer, the transcription should be Green, whether you know she was Greer or not .
Exact Transcription of any document should be be that . It does not matter if you have the birth cert
If the original 1911 census return image definitely says Green - then Green should be transcribed whether it was her name, or the name she used or not - . This is why your 1911 correction was probably rejected.
]The names should only be altered if it has been mistranscribed , ie if the transcription of the document differs from the actual words/spelling on the orignal document.
Kind Regards:)