He said he was looking forward to hearing what the baby's name would be.
"I suppose it might be something like George because that was the Queen's father's name. It could even be James. There is a real connection with Scotland, and James was a King of Scotland. I don't think it will be Charles. Who knows, they are a young modern couple, they might have something completely different."
Mr Jenkins said he didn't intend to organise a function for the royal baby's birth but was keen to follow the young lad's progress through life.
Another local royalist Hazel Burton, who was only at Buckingham Palace last month, said she was "absolutely rapt" to hear the baby had been born.
She too wasn't worried about the baby's gender.
"I kept thinking it was a going to be a girl and they would name her Victoria or Elizabeth."
She said she had not thought too much about boys' names but she predicted the child would likely have three or four names, as was the case with other royals.
The birth date of the future king was likely to be shared by around 167 New Zealand babies, Statistics New Zealand has revealed.
When Prince William was born in 1982, the average age of New Zealand mothers giving birth was 26. That has now increased to 30.
Meanwhile, the average age of a first-time Kiwi mother is 28, three years shy of the Duchess of Cambridge's 31.
Government statistician Dallas Welch said baby boys born today in New Zealand might expect to live 90 years on average, and girls 93 years.
If heredity is anything to go by, the royal baby has a good chance of living even longer than that. Queen Elizabeth II, the new prince's great-grandmother, is 87, and the Queen Mother lived to 102.
"As third in line to the throne, the new prince may have a long wait until he becomes king," Mrs Welch said.
Readers of the Rotorua Daily Post's Facebook page were quick to respond with their thoughts on the royal birth with many saying they weren't that interested. Some of their comments included:
The near birth of my own baby outweighs the birth of insignificant "royals"
Not interested at all!!
nt phased lol im too busy celebrating my mothers & my bday today!!
It's AWESOME! Something POSITIVE in the news for a change!!!
Im more excited to find out his name.
By the numbers
13 hours, 51 minutes daily - average time partnered mothers spend caring for their young child
6 hours, 19 minutes - average time partnered fathers spend caring for their young child
28 - average age for first-time Kiwi mothers
31 - age of Duchess of Cambridge
50 cents - cost of a newborn's nappy in New Zealand
15 cents - cost of a newborn's nappy in Britain