TV3 said it would not comment on a private Facebook page but Mediaworks spokeswoman Rachel Lorimer said the network "takes its responsibilities towards younger viewers seriously" and did not condone illegal behaviour.
Despite saying TV3 did not condone illegal behaviour, Ms Lorimer later refused to explain why Wypych is still on the show.
She also refused to comment on the results of an nzherald.co.nz poll which asked whether New Zealanders thought she should leave the show for her action. Thousands answered and more than two-thirds said she should.
The controversy erupted after it emerged Rosanagh did not disclose convictions for driving while disqualified and gave false details to police.
Rosanagh refused to speak to reporters directly but appeared on camera to read a statement.
"I understand that what I've done has jeopardised my place in the competition and I know any day now the judges could kick me out if they wanted to," she said.
Her family watched the drama unfold in her hometown, Napier.
A relative who referred to himself only as "one of her uncles", said the furore was "unfortunate" and wished Rosanagh well for the remainder of the competition.
The photos emerged when a parent contacted Hawke's Bay Today after her 11-year-old daughter "friended" Rosanagh on Facebook.
"Given she's quite a role model for Hawkes Bay, I would have thought TV3 would have given her some guidance on how to manage Facebook," she said.
The mother said many of her daughter's primary school friends had also sent friend requests to Rosanagh and been accepted.
"I think she's done very well and that's fantastic but I'm a little bit concerned that she's quite publicly showing this alcohol culture, and she's young."
Rosanagh's father, Tony Wypych, said he couldn't comment on what people thought of his daughter's Facebook page.
"It's a kids' thing. I've never been on Facebook, never had a look."
But Mr Wypych defended his daughter over revelations she did not disclose convictions for driving while disqualified and giving false details to police.
Rosanagh admitted to a drink-driving conviction earlier this year.
Mr Wypych said the parent who alerted media to the convictions must have had some sort of grudge.
His daughter had "been a little bit naughty" but was kind and stuck up for others.
The final of Next Top Model will screen live on Friday.
Ratings for the third season of the show were down but it was still beating programmes on rival networks.
- APNZ & HAWKE'S BAY TODAY