Thanks, pavane. This version is close to the one I've heard before.

Here is a transcription of the lyrics, as near as I can make them out. (The last verse is too smudged to read clearly.)

Genie

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The Frolicksome Maiden the Gentleman Outwitted

You buxom young lasses, come listen a while,
And to you a comical story I'll tell.
I am sure the fancy will make you to smile
Concerning a lass who in London did dwell.

As she was walking forth one morning,
Being brisk, jolly undaunted and bold,
The jest it was pretty, it was done in the city
As in my relation to you I'll unfold.

This frolicksome lass one day chanced to meet
Three jovial gentlemen riding along.
One of the three did her kindly greet
And said, "Fair maid, I'll do you no wrong."

She said, "Kind Sir, I don't much fear you,
That this cold morning you should do me any harm,
But one thing I beg, Sir, 'twixt your legs, Sir,
If you will give it, 'twill keeep pure warm."

This frolicksome lass his horse did mean,
But he did not know her crafty intent.
He said "You shall have it when you came to yonder green."
Thinking 'twas something else that she meant.

"But, oh, kind Sir," said she, "shall I have it?"
"Yes, by my soul, my dear jewel," said he,
Because that you crave it, my dear, you shall have it.
I take these two gentlemen witness to be."

"Sir," said she, "could I but believe,
That which you promise you'll give unto me.
Men make it their business our sex to decieve,
There's scarce one in ten that faithful will be."

He said, "My dear, I won't deceive you.
You shall have what between my legs I have got.
Can I prove so ungrateful or yet so deceitful
To deny a fair maid such a favour as that?"

But when they unto the green came,
He dismounted his horse to take hold of her hand,
But she proved shy and refused the same
And begged him a minute or two for to stand.

He said, "My dear, I am very impatient.
Take what I promised without more delay."
She strait took the horse and laid her legs across
And then from them all she galloped away.

The gentleman seeing how he was served
Upon his two friends simply looked.
They smiled and said, "Nought but what you deserved!"
He said, "But her meaning, indeed, I mistook!"

"But if you will lend me one of your horses,
I will pursue through yonder long lane.
I'll soon overtake her, and then I will make her
Deliver unto me my horse back again."

Then after her with full speed he did ride
And coming up to her these words he did say:
"Come give my horse again," he cry'd.
She answered,"Why in so much hurry, I pray,"

"For your horse you fairly gave me?"
From before her a pistol she took in her hand
The horse I've won, sir, for what I have done,
So therefore stand off or you're a dead man."

The gentleman said, "You impudent queen!
You with us now to a justice shall go."
She said, "I nothing but honesty mean
And I don't care a pin who of it does know."

"For I will now go with you freely,
The people will stand at your sight to behold."
Her legs being crossed, she dismounted her horse
And unto the justice the story she told.

The justice did laugh till his sides he did hold
And say "Pray come tell me if all this be true."
He said, "I cannot deny what she had told,
But yet I don't think that my horse is her due."

"What betwixt my legs I promised her
If she would go up to the green.
I soon consented and she was contented,
But I little thought 'twas my horse she did mean."

The justice he said, "I hope you don't grudge,
That which ???????? part with it free,
For 'tis her own were it worth twice as much,
And that these your friends both witness be

The gentlemen went in a passion away
----- heartily at the sun
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