A traditional nursery rhyme.

It is usually sang, as you can see here: Goosey, Goosey Gander (song)

This rhyme is very old, that's why we see the use of some old-fashioned words and also the missing rhyme between GANDER/WANDER and CHAMBER. In modern British English these words don't rhyme at all:

/gændə*/ /wɒndə*/ /tʃeɪmbə*/  

but in the past, some centuries ago, all three words rhymed: /gændə*/ /wændə*/ /tʃæmbə*/     

Goosey, Goosey, Gander,
Whither shall I wander?
Upstairs and Downstairs,
And in my lady's chamber.

There I met an old man,
Who would not say his prayers;
I took him by the left hand,
And sent him down the stairs.

GOOSEY= Little goose (see picture)

GANDER= A female goose (but here, "goosey, goosey, gander" doesn't mean anything, it's only used for the musicality of the sounds)

WITHER SHALL I WANDER= (Old English) Where shall I go?

CHAMBER= (Old English) Bedroom.

WOULD NOT SAY= Refused to say, didn't want to say.

HIS PRAYERS= In this case, the prayers a christian says in bed before going to sleep.