Good evening M,
looks like the fair golfing weather is finally ending, were you out today ? - rather a cold wind and sudden rain here this evening and dark by seven, brr.

Yes, you are of course correct regarding Broadoak, it's just a mile or two upstream of Newnham towards Westbury then Gloster. Both Newnham & smaller Broadoak are Severnside on the outside of the Horseshoe bend, directly opposite Arlingham, all served by the ferry from 1802 til 1947. As well as the River, Newnham & Broadoak are linked by the GWR and the main A48 road.

Here's a map
http://www.forest-of-dean.net/index.php/resources/15-maps/97-forest-of-dean-east-circa-...
http://www.genuki.org.uk/big/eng/GLS/Arlingham/Gaz1868.html

And this nice little site with history and old photos
http://www.newnhamonsevern.co.uk/living/groups/history-groupintro/

PS searching the Hayward name in the area gives a few Johns & Samuels within Victorian Directories, so yes these appear to be "family" names.

examples:
"Arlingham 1863,
Parish clerk, John Hayward.
Hayward Samuel, shopkeeper
Hayward Samuel, jun. New Inn #
(at nearby Overton, Hayward Joseph, farmer & beer retailr)"
http://parishroots.co.uk/2013/08/24/arlingham-kellys-gloucestershire-directory-1863/

"Newnham 1879 - Ferryman, Samuel Hayward."
http://www.forest-of-dean.net/index.php/resources/kelly-s-directory-1879/72-newnham

#For more info and history of the New Inn search "Arlingham" in this site and page thro' the eight hits.
http://www.gloucestershirepubs.co.uk/AllGlosPubsDatabase/AllGlosPubs_view.php
Keepup the great work :-)