The Rowlands Castle duo had previously won the title round their home club in 2016.
After an opening round of 37 points had put them in poll position Barrowcliffe and Lapage maintained their advantage with an excellent 19 points in the second round, played over the first nine holes.Their total of 56 points gave them victory by two clear points.
The other podium positions went to the Brokenhurst Manor pairings of Jerry Curtin and Idris Vernall (54 points) and David Mewes and David Hart (50 points).
The scratch prize was won by Lee-on-the-Solent's Dave Edmunds and Steve Kaye (49 points).