I had 1689 in my head for some reason, but 1698 seems correct for the Leeds. Pierce places the arrival of the first white settlers at Nescochague in 1707. He implies that they were offshoots of those who fled Charles II's war against the Kirk and arrived in the southern counties after Penn took control of West Jersey... mid-1680's I think.
Pierce also repeats the 1645 date for Eric Mullica's first trip up the river. That would have been something like 7-8 years after the first Swedish colonization on the lower Delaware, correct? That date doesn't seem impossible if Mullica was a Swede. Has it been reliably discounted? Seems strange that nobody would have been up that river in 50 years.
Where'd you read that tale about the sizes of the eggs? That's neat .
Mullica would have only been 9 years old in 1645.
I'm sure there were people going up and down the river before Mullica settled there. We simply have no records of such.
The origin of the term "Egg Harbor" is well documented. It is the Anglicization of the Dutch "Eyren Haven".