Harrow only a point for Beavers
In an entertaining game for the neutral, the Boroughs shared the points but Dowse will not be happy with just a point.
Harrow started the better and had the Beavers on the back foot, taking the lead in the 20th minute.
Michael Bryan sent over a sharp cross from the right, but it was missed by everyone. The ball came back into the box and Lewis Driver was unmarked in the 6 yard box, and was able to push it home for the opening goal.
The Beavers responded and picked up their game, increasing the pressure and on the half hour, they got the equaliser.
Referee Paul Johnson played a smart advantage following a foul on the edge of the box, and the ball rolled out to Josh Casey, who picked up the ball and lashed the ball past keeper Conor Hudnott.
5 minutes later, the Beavers could have taken the lead as a clearing header fell to Brendan Kiernan and his volley was acrobatically saved by Hudnott for a corner.
Harrow were forced onto the back foot at the start of the second half, and the Beavers took the lead in a slightly fortuitous manner on 53 minutes.
Josh Casey cut inside from the left, and fired a speculative shot at goal; it deflected off Shaquille Hippolyte-Patrick in the crowded box and then rolled into the net with Hudnott stranded.
Although the Beavers pressed for the next 20 minutes, creating hances - Brendan Kiernan had a couple - but they couldn't convert those chances seal the points and they paid for that.
A free kick was conceded with 10 minutes to go, some 10 yards outside the box; it was headed back across goal, leaving Seb Brown caught in no man's land and David Taylor rose highest to head home from close range.
Hampton & Richmond Borough (1) 2
Josh Casey 31',
Shaquille Hippolyte Patrick 53'.
Harrow Borough (1) 2
Lewis Driver 20'
David Taylor 80'
1 Seb Brown, 2 Michael Kamara, 3 Tom Jelley, 4 Joe Hicks, 5 Moussa Diarra, 6 Harry Taylor, 7 Brendan Kiernan (17 Jerome Federico 88), 8 Dean Sinclair, 9 Nicke Kabamba (15 Charlie Moone 88), 10 Josh Casey, 11 Shaquille Hippolyte-Patrick.
Subs 14 Eddie Hutchinson, 15 Charlie Moone, 16 Kieran Murphy, 17 Jerome Federico, 18 Eddie Hutchinson.
1 Conor Hudnott, 2 Michael Barima, 3 George McCluskey, 4 Shawn Preddie, 5 Michael Peacock, 6 Spencer McCall, 7 Michael Bryan, 8 David Taylor, 9 Marc Charles-Smith, 10 Lewis Driver, 11 Joshua Webb.
Subs 12 Connor French, 14 Dylan Cascoe, 15 Jack Waldren, 16 Mark McLeod, 17 Josh Webb