(Yesterday, 2:22 pm)Andreos1 wrote The Tyne is navigatable up to Wylam according to Google AI.
I know there was a passenger service up until the mid-90s between Sunderland and Fatfield Bridge on the wear. 

The Tees is fine up to Yarm off memory. Obviously you've got the barage to navigate.

Was it not Cox Green?

I don't remember the service, but the river is at the depth you could wade (if not for the undercurrants) when tide is out, by the bridge and opposite the Biddick Inn.