Ceolmær is a masculine OE name formed from the elements cēol ‘keel, ship’ and mær ‘fame’. It was evidently a rare name, and the single example recorded in PASE was probably the same person as the TRE landowner.
Spellings in Domesday Book: Celmar
Forms in modern scholarship:
von Feilitzen head forms: Cēolmær
Phillimore edition: Ceolmær
Alecto edition: Ceolmær