Very nice Iains, but it does not tell us which members of the public voted to remain or to stay.

Well let us make an assumption that those that voted for a Labour MP in the 2015 election also maintained their majority vote one year later in the referendum.
I take as an example Birmingham Northfields These figures are actual.

Labour         Richard Burden         17,673         41% in 2015 election
Labour         Richard Burden         23,596         53.2% in 2017 election         Increase 11.6 %
June 2016 Referendum result by wards of Northfields constituency:

       WARD            Renain Leave   Total   Remain Leave

        Kings Norton        4,275        6,643        10,918        
       Longbridge        4,269        8,157        12,426        
        Northfield        5,005        8,151        13,156                
        Weoley         4,785        6,695        11,480        7        18,334   27,256

        59$ voted leave                        
       53% voted labour
That succinctly demonstrate a labour stronghold that voted leave