A little Dog that wags his tail — Red-Light District

A little Dog that wags his tail 1
And knows no other joy
Of such a little Dog am I
Reminded by a Boy

Who gambols all the living Day 5
Without an earthly cause
Because he is a little Boy
I honestly suppose-

The Cat that in the Corner dwells 9
Her martial Day forgot
The Mouse but a Tradition now
Of her desireless Lot

Another class remind me 13
Who neither please nor play
But not to make a "bit of noise"
Beseech each little Boy-
(F.1236/J.1185)
[1] little:: mean, despicable. Dog:: a worthless person. tail:: penis (OED n.1 5c);
[4] Boy:: a young guy; a rough or rowdy (OED n.1 6b).
[9] Cat:: a prostitute (OED n.1 2b).
[10] martial Day:: aggressive day.
[11] Mouse:: a coward (who seeks a prostitute).
[12] desireless:: a deal of money without desire for her. Lot:: the prostitute's territory.
[13] Another class:: the local police, another class beside hooker and her client.
[15] not, "bit of noise":: not to make trouble.
[16] Beseech:: to ask or entreat with urgency.