The hosts were bowled out to 206 in second essay after being followed-on. Dutch were skittled out for 127 in the first innings.
Ireland posted a massive total of 400 in their first innings, thanks largely to Botha's 172 and his two fruitful associations. He shared 159-run stand with Kevin O'Brien (79). And forged 139-run stand with Poynter (76*).
Connell became only the 16th bowler in first-class history to take a hat-trick on debut when he blitzed through the Netherlands tail to wrap up the match. The 26-year-old medium-pacer is the first player to do it in an international match with all the others coming in county, state or provincial games.
Having taken four in the first innings, Connell then really got into his stride second time around, removing six Netherlands batsmen to finish with the impressive match figures of 35-14-69-10.
Only Peter Borren (53) and Mudassar Bukhari (59 not out) put up any resistance for the Netherlands on the final day as the home side struggled in vain to save the match. In the end, the home side managed just 206 all out, falling 67 runs short of making Ireland bat for a second time.
The visitors claimed all 20 points on offer to move up in the chart. Ireland now have 69 points from four games and leapfrogged Kenya for the second spot.
Dutch, who went pointless, now sits in fourth position but with little or no chance of making the final having played more games than all those teams ahead of it. Namibia with five wins in as many games sits pretty at top while Kenya were placed at third position with three wins and a loss.
It looks like it's down to a three-horse race with Namibia, Ireland and Kenya left to fight it out for places in the final.
Ireland 400/6 decl (Andre Botha 172, O'Brien 79, Poynter 76 n o; Bukhari 4/85, Jonkman 1/41) beat Netherlands 127&206 (Mudassar Bukhari 59 n o, Borren 53, van Bunge 25; Peter Connell 6/28, Botha 2/33, McCallan 1/28).