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This is where I've searched up to. If anyone else would like to search, just put "tattoo studio Saltdean" into Google and cross reference parlours with Instagram. I've searched and looked at every post on the above 5 studios (including my previous post). I've also clicked on artists affiliated with the studios to view their pages, as individual studios won't list every bit of work every artist has done - that's what their individual accounts are for.
The swallow and scarab look trad/neo trad, and the cat looks hand poked - if these help with search terms etc.
I thoroughly believe that in this day and age, that this young lady's tattoos are photographed as work by the artists who have inked them, and therefore will be online. We've got to imagine if she had them from when she was 18+, upto if they've estimated 25 years, yes we are in the trendy Instagram age of a young woman showing off her tattoos by hashtags, and the artists demonstrating their work on their pages or the pages of the studios they work for.
I will continue searching this way and hope others can join in. Tomorrow I'll message some studios and ask if they would be willing to distribute the police page for this young lady.
Edit: even if we don't find the lady's account, the beauty of artists is that they more often than not will caption a tattoo photograph like: "today I did this teddy bear for X, thanks, X!"