This song was mentioned by Steve Gardham above.

From The Roxburghe Ballads, Part 1 (London: 1774), page 1 (with spelling modernized):

YORK, YORK, FOR MY MONEY

1. As I came thorough the north country,
The fashions of the world to see,
I sought for merry company,
    To go to the city of London:
And when to the city of York I came,
I found good company in the same,
As well-disposed to every game,
    As if it had been at London.

[CHORUS] York, York, for my money,
Of all the cities that ever I see,
For merry pastime and company,
    Except the city of London.

2. And in that city what saw I then?
Knights, squires, and gentlemen,
A-shooting went for matches ten,
    As if it had been at London.
And they shot for twenty pounds a bow,
Besides great cheer they did bestow,
I never saw a gallanter show,
    Except I had been at London.

3. These matches, you shall understand,
The earl of Essex took in hand,
Against the good earl of Cumberland,
    As if it had been at London.
And agreed these matches all shall be
For pastime and good company
At the city of York full merrily,
    As if it had been at London."

4. In York there dwells an alderman, which
Delights in shooting very much,
I never heard of any such
    In all the city of London.
His name is Maltby, merry and wise
At any pastime you can devise,
But in shooting all his pleasures lies;
    The like was never in London.

5. This Maltby, for the city's sake,
To shoot, himself, did undertake,
At any good match the earls would make,
    As well as they do at London.
And he brought to the field, with him,
One Speck, an archer proper and trim,
And Smith, that shoot about the pin,
    As if it had been at London.

6. Then came from Cumberland archers three,
Best bowmen in the north country,
I will tell you their names what they may be,
    Well known to the city of London.
Wamsley many a man doth know,
And Bolton, how he draweth his bow,
And Radcliffe's shooting long ago
    Well known to the city of London.

7. And the noble earl of Essex came
To the field himself, to see the same,
Which shall be had for ever in fame,
    As soon as I come at London.
For he showed himself so diligent there
To make a mark and keep it fair,
It is worthy memory to declare
    Through all the city of London.

8. And then was shooting out of cry,
The scantling at a handful nigh,
And yet the wind was very high,
    As it is sometimes at London.
They clapped the clouts so on the fags,
There was such betting and such brags,
And galloping up and down with nags,
    As if it had been at London.

9. And never an archer gave regard
To half a bow, nor half a yard,
I never see matches go more hard
    About the city of London.
For fairer play was never played,
Nor fairer lays was never laid,
And a week together they kept this trade,
    As if it had been at London.

10. The mayor of York, with his company,
Were all in the fields, I warrant ye,
To see good rule kept orderly,
    As if had been at London.
Which was a dutiful sight to see,
The mayor and alderman there to be
For the setting forth of archery,
    As well as they do at London.

11. And there was neither fault nor fray,
Nor any disorder any way,
But every man did pitch and pay,
    As if it had been at London.
As soon as every match was done,
Every man was paid that won,
And merrily up and down did run,
    As if it had been at London.

12. And never a man that went abroad
But thought his money well bestowed;
And money laid on heap and load,
    As if it had been at London.
And gentlemen there so frank and free,
As a mint at York again should be,
Like shooting did I never see,
    Except I had been at London.

13. At York were ambassadors three,
Of Russia, lords of high degree,
This shooting they desired to see,
    As if it had been at London:
And one desired to draw a bow,
The force and strength thereof to know,
And for his delight he drew it so
    As seldom seen in London.

14. And they did marvel very much
There could be any archer such,
To shoot so far the clout to touch,
    Which is no news to London.
And they might well consider than
An English shaft will kill a man,
As hath been proved where and when,
    And chronicled since in London.

15. The earl of Cumberland's archers won
Two matches clear, ere all was done,
And I made haste apace to run
    To carry these news to London;
And Wamsley did the upshot win,
With both his shafts so near the pin
You could scant have put three fingers in,
    As if it had been at London.

16. I pass not for my money it cost,
Though some I spent, and some I lost,
I wanted neither sod nor roast,
    As if it had been at London.
For there was plenty of every thing,
Red and fallow deer for a king,
I never saw so merry shooting
    Since first I came from London.

17. God save the city of York therefore,
That had such noble friends in store
And such good aldermen; send them more,
    And the like good luck at London;
For it is not little joy to see
When lords and aldermen so agree,
With such according communality,
    God send us the like at London.

18. God save the good earl of Cumberland,
His praise in golden lines shall stand,
That maintains archery through the land,
    As well as they do at London.
Whose noble mind so courteously
Acquaints himself with the communality,
To the glory of his nobility,
    I will carry the praise to London.

19. And tell the good earl of Essex thus,
As he is now young and prosperous,
To use such properties virtuous
    Deserves great praise in London:
For it is no little joy to see
When noble youths so gracious be
To give their good wills to their country,
    As well as they do at London.

20. Farewell good city of York to thee,
Tell alderman Maltby this from me.
In print shall this good shooting be
    As soon as I come at London.
And many a song will I bestow
On all the musicians that I know,
To sing the praises, where they go,
    Of the city of York in London.

21. God save our queen and keep our peace,
That our good shooting may increase;
And praying to god let us not cease,
    As well at York, as at London.
That all our country round about
May have archers good to hit the clout,
Which England cannot be without,
    No more than York and London.

22. God grant that once her majesty
Would come her city of York to see,
For the comfort great of that country,
    As well as she doth to London.
Nothing shall be thought too dear
To see her highness' person there,
With such obedient love and fear
    As ever she had in London.

[from York, by W.E. i.e. William Elderton.]