Here's my revised attempt at filling out the remainder of the song and fiddling with the above.

MR. CHEESYMOUSE

Out in the outhouse lived Mr. Cheesymouse, a most extraordinary fellow
He has pointy ears but the greatest sex appeal is, oh they say his tail is cheesy yellow
One night at nine when at supper time, he goes to dine in the larder
Of Ms. Toddysmith's farm
He nibbles at the cheese without even a breeze, set it alone from the table
Cause Ms. Toddysmith's able
For she's stinking rich, daughter of a bitch, never been hitched
Which is understandable
Cause she's can't stand-able

When he's had his fill, Cheesymouse takes some trill meant for the budgerigar
Then to wash it down he drinks some milk that he's found, he sleeps in the biscuit jar
But by ten thirty, he's awake and alert, he can't stay a night where he can't spare
Ms. Toddysmith's hamster
So he's under the door, creeps over the floor, he's got to make sure he's no touch
By Ms. Toddysmith's barn bird
While in the next room, Ms. Hamster's in a swoon, dreaming of a honeymoon
Soon there'll be a rodent's wedding
And doubtless more bedding

Then off goes the bell, Cheesymouse looks his wife, goes in and proceeds to kiss her
Ms. Hamster, she replies, a loving look in her eyes, and gently nibbles his whiskers
He finds this exciting, pleasant and delighting, he can't help inviting his lady
To a corner nice and shady
But as you may deduce, Ms. Hamster is seduced, in three weeks she will produce a litter
But she'll be feeling bitter
Cause Cheesymouse may be his name, but male mice are all the same, they defile and defame
Shame, there'll be no rattling carriage
No interracial marriage

Out to the outhouse retires Mr. Cheesymouse, soon to be a father again
In joy he raps his boys, he loves these paternal joys, and that will be litter number ten
Ms. Toddysmith begins to fret for the health of her pet, she better call a vet to know the matter
Why her hamster's getting fatter
In a week she has a shock, Ms. Hamster's in smock, the neighbors will all flock, it's illicit
You better tell us who did it
Ms. Toddysmith, I'm sorry, to give you all this worry, but Cheesymouse is so very furry
There could be no resistance
All his persistence

That's the sting in the tail if he's dead
Cheesymouse