Sarah Clayton was from Yapton, near Arundel
Police are investigating the suspicious death of a woman at the Buckle caravan and camping site in Marine Parade, Seaford, over the weekend.
Her family have been informed and are in contact with a police family liaison officer.
A man, aged 28, from Littlehampton has been arrested on suspicion of murder and released on 15th May under investigation.
Police have established they were known to each other.
Detective Chief Inspector Emma Heater, of the Sussex and Surrey Major Crime Team, who is leading the investigation, said: "Although we're not looking for anyone else in connection with Sarah's death we are still seeking witnesses or anyone with information that may assist us.
"In particular we'd like to talk to dog-walkers or other pedestrians who used a footpath through the site during the early hours of Sunday (13 May), and people who were there to attend a 50th birthday party over the weekend. They may have seen or heard something unusual or suspicious that we need to know about."