Moira and the Mice wasn't really a punk rock band as much as they were a rock band from the punk era who came from Wales and I don't think they ever broke up. They might be playing a show this weekend for all I know.
They had a lot of original tunes but only recorded a few of them. Six that I know of on these two records.
Here's a great song that they played live but didn't release on a record.
Somebody posted a full show on YouTube (audio only) of a show they did at the Trubadour in Port Talbot in 1981.
Moira and the Mice - Sight and Sound 7" (1980)
A - Sight and Sound
B - Gimme Pleasure
Moira and the Mice - Hysterical Outbursts 7" (1981)
A1 - Hysteria
A2 - Heart Like a Whore
B1 - War Games
B2 - Playing for Time