Answer:
The allusion to Midas reveals the differences of ages between the Chaperon and Midas.
Step-by-step explanation:
Third stanza:
"They bow as my young Midas here (emphasys on the young)
Will never learn to bow
(The dancing-masters do not teach
That gracious reverence now)(...)"; (Such things aren't taught to the young anymore)
The contrast between their ages is clearer during the fourth stanza:
"I watch my chaperon's face,
And see the dear old features take (the chaperon is old)
A new and tender grace;
And in her happy eyes I see
Her youth awakening bright,
With all its hope, desire, delight--
Ah, me! I wish that I were quite
As young--as young as she!" (I wish I were as young as she)