Yes, the blue "and"s connect the speaker's stream of questions. "coal-holes and pantries and I don't know where" means "coal-holes and pantries and other places that I don't know about, or can't think of right now, or don't care to explicitly state".
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park sang joonThank you, GPY, for another so very kind answer from you. Then I was wondering if "a place/ places" is implied before "I don't know where."Not specifically, no. "... and I don't know where" is used in an informal idiomatic way. Probably we shouldn't worry too much about exact grammatical explanations.