Matthew Dale Harris (22) and Ruby Jane Harris (five months) were killed in the crash, which happened in the Winton-Lorneville Highway (State Highway 6) on Wednesday last week.
Police said today the condition of a teenager injured in the crash has improved, but he remains in a critical condition in Dunedin Hospital.
They were continuing to investigate the crash and were keen to hear from the driver of a maroon coloured Toyota Prado, or similar vehicle, that was travelling south in SH6 shortly after the crash about 3.55 pm, before turning into Branxholme-Makarewa Rd.
"If this is you, or you know who this person may be, please phone 105 and quote file number 200903/1062."