implying the evolutionary sequence must be reflected in the dating of remains.
The hypothesised evolutionary sequence is derived from the avilable stratigraphic and radiometric evidence available. Should a key fossil or fossils be found to be older than previously thought, this necessitates a rethink. For example, in simple form, certain Homo sapiens fossil remains in the Levant were thought to post-date the Neanderthal remains but in actual fact they pre-date.
The parental form must always pre-date the daughter species. Should a fossil of a daughter species be claimed to pre-date the mother species then either the reconstructed sequence was flawed or the new reconstruction has serious issues which require addressing.
finding remains that fall in the right dating order cannot prove the premise either, it would merely fail to disprove it
Correct.
I also suggest reading some good online literature on evolutionary theory:
http://www.talkorigins.org/origins/faqs-evolution.html