Beamish, recent back in the sport after a number of years away, helped his side twice pull back a one-goal deficit, scoring two delightfully skilful efforts that sandwiched a strike from Ivan Bryan.
Quins had a late chance to equalise, but Dan Hobbs — who had earlier notched both his side’s go-ahead goals — saw his penalty stroke repelled by Joe Fitzgibbon as Bandon held on to progress.
They were joined in the next round by Cork C of I, for whom Stephen Sweetnam, recently repatriated after a period in New Zealand, notching four in their 6-1 defeat of Mossley.
Sweetnam went on to score again 24 hours later, as C of I’s first team dispatched Catholic Institute 5-1 in Limerick to reach the Peard Cup final.
UCC blew a great chance to make it three Munster teams in round two, surrendering a 3-1 lead away to Kilkeel before going down 4-3 to the Co Down outfit. Cian Kavanagh’s drag-flick put College in front before Shrew Power took over, two lightning solo runs producing a fine solo goal as well as an assist for Stephen Murphy.
But the students went to sleep in the second half and allowed themselves fall behind, and couldn’t convert a few late corners to force extra-time.
There was further joy for C of I and Bandon as their women’s sides also progressed in the Irish Junior Cup.
Emma Dobson scored a stunning solo strike to give C of I a backs-to-the-wall 2-1 win over Lurgan, while free-scoring Ciara McCarthy was the hero for Bandon, hitting the decisive goal in their 3-2 home win over Belfast Harlequins.
Maria Collins did likewise as Cork Harlequins notched a fabulous 2-1 success at Glenanne. Catholic Institute also successfully raided Dublin but had to do things the hard way against Old Alex, prevailing on penalty strokes following a 3-3 stalemate. No such luck for UCC though, as they were beaten 3-0 at Corinthian, while Ashton were edged out by the odd goal in three as Trinity left Cork with the spoils.
There was a huge upset at Hillsborough, where holders Lisnagarvey fell at home to Pembroke Wanderers, Eimear McCarthy bagging the only goal of the game.
Locally, UL frustrated Catholic Institute for long periods before their resistance eventually broke in the second half, as Eimear Cregan (2), Naomi Carroll and Clare Sullivan helped the champions notch a 4-0 success.
Meanwhile, UCD were brought back to earth in the Leinster league with a 2-1 home defeat to Fingal yesterday. Rory O’Donoghue’s side had amazingly seen off Pembroke Wanderers — a side they usually did well to keep to single figures in previous encounter — 6-4 on Saturday.
It means Monkstown, 4-1 winners over Clontarf, now lead the standings for the first time since 1983.