There was a kids TV show on CBeebies that I used to watch when I was younger. I imagine it was filmed late 90s or very early 2000s and think it would have been on around 2005ish. All I can remember was that there was a man and a woman and they lived inside a lady's handbag. If anyone can remember the name that would be greatly appreciated.
I don't think this is the premise of a show, It's more likely a standalone episode of another show, unless you can recall more than one episode? A quick Google suggests there was (according to TV Tropes) an episode of Bear Behaving Badly that had a dog that lived in a handbag. Normally nine times out of ten a premise of a show should show up in some form on Google whereas the individual episodes synopses (synopi?) often don't.