Ayr substitute Aaron Connolly missed glorious chance to claim the points from a few yards out.
Ayr continued to press and Inverness took until the 25th minute to seriously test their defence.
Livingston's former Morton striker, Stephen Whelan, is training with Ayr with a view to loan deal.
Elizabeth Martin (Ayr, Ayrshire and Arran) - For services to the community in Ayr.
Scotland meet Afghanistan in Ayr in August and travel to meet a Zimbabwe XI in October.
The new plans will be discussed in Dumfries, Stranraer, Ayr, Lanark, Thainstone and Kinross next month.
Ayr forced another chance in the 40th minute, again borne out of sloppy play from Caley Thistle.
Aberdeen, Ayr, Inverness and Dundee are on the shortlist for second phase licences at a later date.
It's premier attractions are the Coral Scottish Grand National and the John Smith's Ayr Gold Cup Festival.
Ayr went ahead on 20 minutes when Daniel McKay fired in a fine strike from 25 yards out.
Morton had not troubled the Ayr goal in the first half but picked their game up after the interval.
The first half was a fairly even affair until Ayr took the lead.
Obidele has had trial stints at Ayr United, Airdrie and Cowdenbeath so far.
Livingston's Leigh Griffiths, Ayr's Bryan Prunty and Albion Rovers' Bobby Barr won the First, Second and Third Division awards respectively.
Despite that, Kevin Finlayson had to make a last-ditch block on the goal line to prevent a goal for Ayr's Ryan McGowan.
Thursday pitch inspections ruled out the fourth-round ties being hosted by Albion Rovers, Ayr, Edinburgh City, Forfar, Raith Rovers and Ross County.
Ex-Ayr United and Morton striker Alex Williams was arrested after police swooped on an Audi car in Pollok, Glasgow, in September 2011.
BBC: Former footballer Alex Williams jailed over drug supply
And then at the other end Monti converted Finlayson's low cross past Craig Samson to consign Ayr to Second Division football next term.
Ferguson began his career on the soccer pitch, playing for Scottish clubs Queen's Park, St Johnstone, Dunfermline, Glasgow Rangers, Falkirk and Ayr United.
Ayr hung on to claim their first victory at Inverness in nine attempts, with Stewart Kean's third-minute strike enough to Caley Thistle's championship hopes.
Courtenay, who also turned out for Sheffield and Ayr Scottish Eagles, will arrive in Belfast next month, ahead of the start of pre-season training.
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Andrew Whitson, 28, and Paul Swan, 39, both from East Lothian, admitted singing racially-offensive songs on a train from Ayr to Glasgow on Saturday.
Perth, Dundee, Lerwick, Greenock, East Kilbride, Ayr, Keith, Dumfries, Castle Douglas, Kelso, Paisley, Elgin and Kirkwall will also hold events to mark the occasion.
He has stirred up his Ayr sub-clan and served as a rallying point for the radicals, who lack a unifying figure of their own.
Whitson and and Swan were returning from the Ayr v Hibs Scottish Cup quarter final match on the 18:13 train when they committed the offence.
Eagles had moved to Braehead from their original home in Ayr.
Ayr almost doubled their lead a minute later when some sloppy defending allowed Scott Chaplain to break forward from midfield, but Brown eventually blocked his effort.
Hot Weld, ridden by 5lb claimer PJ McDonald, did it the hard way as he made all the running over an extended four miles at Ayr.
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Spells with Partick Thistle, Ross County and Ayr United followed before Lennon arrived at Gretna, where he combined playing with a role as youth team coach.
Ayr and Queen of the South in the First Division and the Division Three matches at Annan, East Stirlingshire, Elgin and Forfar were called off later.
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