On behalf of Clara...
Then take the next left onto Drumbiggle Road
(i.e. the turn before the Chinese Takeaway on the corner; I think it's called something like Golden Phoenix, but the name is blurred out in Google maps; there's a turn under an archway into a car park or apartment complex between the Kilrush Road and Drumbiggle Road, but nobody is likely to confuse it with Drumbiggle Road).
The entrance to Ennis Civic Rooms it the third entrance/lane on the right:
The gate will be open.
Coming from Limerick, it's almost as quick to follow the signs to Kilrush and turn right back into Ennis when one reaches the Kilrush road!