Jane is now calling on media regulator Ofcom to investigate using its powers under the Online Safety Act.
The law lists 130 “priority offences” that companies should focus on preventing, including the non-consensual posting of intimate images.
Earlier this week, Ofcom was given new powers to crack down on illegal content. Tech companies will now have to ensure staff are prioritising taking down the material when alerted to it, and have systems in place that help them do that.
Companies that break the new rules could be fined up to £18m.
Tessa Gregory, a partner at the law firm Leigh Day, is representing Jane in her appeal to Ofcom.
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She told the BBC that the Revenge Porn Helpline, which supports adults who experience intimate image abuse, helped Jane track down the images by carrying out reverse image searches online and contacting pornographic sites on her behalf.
Ms Gregory said she now wants Ofcom to “take swift and decisive action” against the sites.
Ofcom, she said, is supposed to make an announcement online when they begin an investigation.
“We’re asking if they’re already investigating this issue, because it seems so prevalent we would expect them to be, but we have found no evidence that they are,” Ms Gregory said.
She added that she and Jane want Ofcom to take action not just against the sites hosting the images, but also against the search engines directing people to those sites.
Ofcom told the BBC it was aware of Jane’s case and that it was “considering any appropriate next steps”.
It added that it had “a broad range of enforcement powers to hold tech firms accountable” for carrying out their legal responsibilities under the Online Safety Act, and that it “won’t hesitate to use them where necessary”.
Insiders at Ofcom told the BBC the regulator will prioritise sites based on various things, including reach and the risk they pose to people.