Douglas (1968), who collected some language data (PMS 5833), treats this as a dialect of Njungar W41. The location description given by Douglas (1976:5) for Tjapanmay ('New Norcia - Goomalling area') corresponds to part of the location Tindale (1974) describes for Balardong (W10).
Tindale says that the name'Tjap:anmai instead of Balardong, is used at Goomalling. Tindale gives 'Nukarni out from Merredin' as the location of the Tjapanmay dialect mentioned by Douglas, but this may simply be the place in which Douglas met the speaker.
It would seem Tjapanmay might be the name of the language variety spoken by the Balardong W10 people (i.e. the people of Balladong).
... spoken around New Norcia and to the north-east. the New Norcia-Goomalling area (Douglas 1968:3).
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Speaker numbers were measured differently across the censuses and various other sources listed in AUSTLANG. You are encouraged to refer to the sources.
Speaker numbers for ‘NILS 2004’ and ‘2005 estimate’ come from 'Table F.3: Numbers of speakers of Australian Indigenous languages (various surveys)' in 'Appendix F NILS endangerment and absolute number results' in McConvell, Marmion and McNicol 2005, pages 198-230 (PDF, 2.5MB).