"Sea lice have sharp little jaws and bite. You feel them straight away because they bite through the skin.
"But with jelly fish - and there are many different types - they inject poison into the body leaving a sting that is often not felt until a few hours later as that's how long it takes to get into the body," Jeffs said.
He said if the spots were half-raised lumps and quite itchy it was most likely jelly fish stings.
"Itchiness from jelly fish usually lasted a few days but if it was serious I'd recommend going to a doctor straight away," Jeffs said.
Atkinson's 11-year-old daughter Zoe said: "I just want to tear my skin off it's so itchy".
The family - who had never been to Hot Water Beach - had friends staying with them from Ireland and wanted to take their overseas visitors to some of "New Zealand's most beautiful hotspots".
"We've had a lovely time but they are a bit apprehensive about swimming in New Zealand waters now," Atkinson said.
She said, interestingly, the three other children who were with them were swimming deeper into the surf and didn't get stung.
Jeffs said that was because jelly fish liked warmer water.
Luckily, her husband was a doctor and they had given the kids some antiseptic cream to help stop the itch.
Top tips on how treat jelly fish stings:
• Apply baking soda on the spots.
• Rub vinegar solution on the spots.
• If serious, try urinating on the sting to relieve instant pain.
• Apply anti-inflammatory cream to the spots.
• If serious or the itchiness doesn't go away after three days, visit a doctor.