Moments later Hamilton's Andy Graham flicked a header at the Inverness goal but Esson made an easy save.
Robbie Garrett hit the Newry woodwork but Andy Graham squandered a great chance to extend the home side's lead.
Newry keeper Andy Coleman denied Ryan McIlmoyle after half-time before substitute Andy Graham struck the home team's second goal on 74 minutes.
The best Inverness could muster was a half chance for Nick Ross and an Adam Rooney effort that Andy Graham cleared.
Blayney made to good save to keep out Rowe's spot kick on 33, awarded for David Armstrong's push on Andy Graham.
Routledge came close to a second for the hosts four minutes later, drilling just wide after Andy Graham had done well to keep the ball in play.
However, Andy Graham missed a glorious chance to extend Newry's advantage on 62 after finding himself with only Blayney to beat but the Linfield keeper raced off his line to block.
Hamilton have already signed defender Andy Graham, previously of Stirling Albion, midfielder Gavin Skelton, who was out of contract with Kilmarnock, and winger Jim McAlister, who rejected a new contract with Morton.
Hamilton made four changes to the side that lost at home to Dundee United in the Scottish Cup last week, with Marco Paixao, Mark Carrington and Andy Graham dropping down to the bench and Lee Kilday left out altogether.
With a combination of bad luck and poor defending, Accies contributed to United's second goal when Dixon reacted quicker than Imrie to Andy Graham's defensive header and the left-back's low drive from 20 yards deflected off Martin Canning and past Cerny.
Saints took the lead when Chris Millar's ball down the right flank allowed Samuel to beat the covering Andy Graham with his pace and the Trinidad and Tobago international's cut-back from the bye-line was perfect for May to score from eight yards.
The physical and mental reconstruction of Andy Pettitte by Wayne Graham produced a ball player that was confident and ready to pitch at the professional level.
St Mirren were 2-0 ahead thanks to strikes from Graham Carey and Andy Dorman before Michael Duberry headed in a scrambled goal for the Perth side on 79 minutes.
Yes, it has happened to me and I'm sure the rest of our team - Dave Woods, David Oates, Stuart Pyke, George Riley, Graham Colley and Andy Giddings - would admit they've been caught out, too, albeit in a quiet moment.
England will be coached by Andy Flower in Australia, with Graham Gooch assisting the batsmen, David Saker the fast bowlers and Mushtaq Ahmed working with the spinners.
Meanwhile Spalding's Graham Smith takes on eighth seed Andy Thomson on Monday evening after brushing aside South African qualifier Thinus Oelofse 16-0 10-5 in round one.
Goals from Andy Dow, Arlid Stavrum and Paul Bernard struck the killer blows for the Dons with Graham Bayne scoring Dundee's sole reply.
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