J.R.R.'s knowledge of or access to the A-H fascicles of the OED as a child

Did J.R.R. Tolkien have access to the Oxford English Dictionary (specifically the A–H fascicles published by 1900) during his school years—either at home or in his school library? If not, is it likely that he relied primarily on Chambers’s English Dictionary or another general-purpose lexicon during his formative years?