His father is supposed to have been born in Kent has a son in Taunton and who in turn marries a woman from Taunton in Kent. That seems odd without an explanation .
Images of the Taunton registers for St Mary and St James are on Ancestry .Just using the index, shows that there were many Mannings living in Taunton from the 1600s to the 1800s. ( spelling variations including Maning, Manninge and according to the Ancestry index Mannings but when you check them, they are Manninge)
In particular , at St Mary, there was a William Manning(s), the father of Anne baptised in 1613, William father of Richard bapt in 1615 and William buried in Jan 1616/17 ( likely to have been an adult as the clerk names the fathers names for what appear to be children's burials)