Former Test regulars Alan Turner and Gary Gilmour were controversially overlooked due to poor form in the 1976–77 summer.
The Duchess of Norfolk's XI lost their first wicket in the second over, that of opener John Barclay caught and bowled by Mick Malone for 7.
But the Australian bowlers lacked the penetration of the usual opening bowling partnership of Dennis Lillee and Jeff Thomson, who had caused so much discomfort on the previous tour.
Despite this, once the partnership of Willey and Randell was broken, wickets began to fall at regular intervals, the only other notable contributions being 14 from Tony Greig and 15 from Phil Edmonds.
Lonsdale Skinner contributed 17, but then Edrich was joined by Pakistan Test batsman Younis Ahmed, and the pair added 66 for the third wicket.
He formed lower order partnerships with Intikhab Alam (16), Robin Jackman (16), and Geoff Arnold (11) who all supported him ably as he made his way to 107 not out, guiding Surrey to a respectable 327 for 8.
[4] The tourists' innings could not have got off to a worse start, with opener Ian Davis clean bowled by Kevin Jarvis for a first ball duck.
Solid but unimpressive middle order efforts followed from Doug Walters (23), Richie Robinson (18), and Rod Marsh (23) dragged Australia past 200, but with the weather again threatening to disrupt play, and wanting some bowling practice, the Australians declared on 240 for 7, Ray Bright not out on 11, and Max Walker not out on 16.
Charles Rowe went for a duck next over off the bowling of Mick Malone, but rain soon interrupted play, and the rest of day two was washed out.
Match Drawn[5] The Australian tourists moved on to Hove the next day after the draw against Kent, but the poor weather continued there.
Australian captain Greg Chappell won the toss, and decided his side needed more batting practice with the one-day series and Tests approaching.
With the weather finally favouring play after a long week of rain, Glamorgan captain Alan Jones won the toss, and confidently decided to bat first.
From there, Jones batted with a steady procession of partners, holding up the innings by himself as wickets continued to fall at the other end at regular intervals.
Day three began with the weather again threatening, and Chappell declared the Australian innings closed without returning to the crease to try to make a game of it.
With Australia's frontline bowlers struggling to make a breakthrough, spinner Ray Bright was brought on, and made an immediate impact, having the advancing Hopkins stumped brilliantly by replacement wicket-keeper Richie Robinson for 66.
Doug Walters also went cheaply, and it was left to spinners Ray Bright and Kerry O'Keeffe to offer the only resistance, putting on a partnership of over 40.
In contrast to the Australians poor start, the Somerset openers eased past 50, before Peter Denning was caught behind off Geoff Dymock for 39.
Day two began well for the Australians, with O'Keffee removing Dennis Breakwell for 23, however strong innings by Ian Botham (59) and Phil Slocombe (55) supported opener Brian Rose to 110 not out.
After an opening stand of 36 from Sadiq Mohammad and Andy Stovold, Max Walker and Mick Malone made short work of their batting line-up.
Australia again started with a wobble, losing McCosker for 4 in the third over, but a 42 run partnership between Chappell and Ian Davis got them back on track.
It was enough to prop up the Australian second innings, and solid contributions from Hughes (27), Doug Walters (24), Richie Robinson (26), and Max Walker (22) took Australia to 251 all out.
Len Pascoe (4/36) and Ray Bright (4/63) were the pick of the Australian bowlers, as they wrapped up a deserved victory by 173 runs in two days.
Pascoe, Malone, Walker, O'Keefe and Bright all took two wickets each in what was a good workout for Australia's bowling attack, and their County hosts only managed to scramble to 195 all out off 44.5 overs.
Davis and McCosker again made solid starts, scoring 26 and 46 respectively, but it was Kim Hughes (51), and Doug Walters (52 not out) that took the game away from Gloucestershire.