I have this book and have read it through twice. On pg 28 is a Stephen Angel who fathered 12 Angell children, one of whom is Charles b 12 January 1732. I have found people in other genealogy sites using this birthdate which I now know is irrelevant to the Charles you seek. Not to mention this Charles never left RI. As a matter of fact most Angells of the times did not, although as you read you will find some off to New York, Wisconsin and others. But none and I do mean none go further south than Maryland.
Think we bought a useless book? Please don't. Go to page 175. Very fascinating information. I think if this section could be redone here in the digital age we would easily see where the various arms of Angells reached. I know already [and this is where it can get dangerous for a genealogist] that my family is descended from Capt Roger Angell [which was Angelli originally]. But you can't/should not try working from the top down. This book has the king as Henry III...no. The king in 1485 was his father, Henry VII. This is the person who literally brought the Angell name to England. Once young Thomas Angell went to America they mostly stayed near each other...however not all names of some families were recovered. Not all the information is perfect. It seems they wanted to truly cover all the people and generations but time and memories and bibles full of information we need go the way of all else.
I think all we can do keep going. The information is somewhere. Don't give up.