Hi DorneyLake123, per your comment - you are correct Broomfield Hill is a private road. 
Also yes there are no gates on Broomfield Close, it continues directly on from Broomfield Hill as a continuation of the private road, there is no extra signage at the entrance of Broomfield Close indicating different permissive usage that I can spot from a direct survey. 
I will leave this one with you too correct on the map if that is enough information. 