Emily brings in a very old, very dirty dirty bit of rag, which Yaffle can see no value in (as ever), the mice start to vigourously clean the cloth before being stopped by Madeleine. She implores the mice to be more gentle with the cloth, and they clean it lovingly, to reveal an old cushion cover with an owl on it. The mice run away, scared by the owl, but come back when they realise it isn't real..
One dirty old shoe is left for Bagpuss & Co to repair, and the mice suggest that it might be suitable for living in, which leads Madeleine to sing along with the Mouse Organ. Yaffle doesn't beleive anyone could live in a shoe, so the mice trick him by going round and round and appearing out of the shoe.
Nobody really knows what the floppy tartan cloth object that Emily has brought is, except Bagpuss. He says it is a small soft Hamish, a Highland beast that keeps its distance because it makes a terrible noise, like bagpipes being played bagpipes (it is bagpipes being played backwards). He tells a heartrending story of Tavish McTavish, who also made a terrible noise playing his bagpipes forwards, and his friendship with the Hamish
Emily brings some broken pieces of what seem to be Ivory. They fit together into a nodding Chinaman. Professor Yaffle tells the story of the wise man of Ling-Po who just wanted to be left to live in peace on his island and talk to his friends the turtles. But the local people like turtle soup and come and catch the turtles. The wise man asks them not to, but they laugh at him. So, he walks across the wooden bridge from the island to the land, breaking it down as he goes. Now the people laugh at him even more, saying he is a stupid man because he cannot return to his island. The wise man tells them not to be so silly, and walks briskly back to his island across the water
This is a heap of pieces, probably of a Staffordshire figurine. It is also said to be a statue of a giant, but if so, it must be the smallest giant in the world. A story is told about Mrs Smithers-Rowbottom who has a magic ubrella which glues things together. This repairs the statue, but the mice dispute its size, so Madeleine sings them a song about comparative sizes.
Emily brings in a bunch of tangled cottony plant. it is Old Man's Beard. Why is it Old Man's Beard? Bagpuss tells them the story of the king who had a marvellously silver beard which would make rich carpets, and of the other old men who wanted to sell their beards to the carpet-makers, so they cut them off and washed them and hung them in the hedges to dry, but none of them were as silvery as a truly royal beard. Madeleine sings the song of the master-weaver, and Charliemouse is fascinated by the art of weaving and demonstrates it to Bagpuss by himself being the shuttle.
This is an old bucket upside-down, with holes in it. Smoke is coming from it. The mice run to fetch water but the sound of Irish fiddle-playing is coming from it. Gabriel recognises it as being played by a leprechaun and he tells a story about a leprechaun and some cabbages. Madeleine sings a song about Brian O'Lynn. In the end the mice tip the bucket over, but there is no leprechaun in it, only a tiny fiddle. Charliemouse picks it up and plays it marvellously. He explains that he isn't playing the violin. It is playing him.