Thinking of New-York in her early life, we were about to say that from 1614 to 1674 she was a mere shuttlecock between the Dutch and English; but the recollection that neither of the contending parties ever tossed her towards the other, spoiled our figure, and we find her more like the unfortunate baby whom it took all Solomon's wisdom to save from utter destruction between rival mothers. The Dutch certainly had the prior claim; but that circumstance, though something in a case of maternity, seems far from conclusive in the matter of adoption. The little Dutch city had accumulated a thousand inhabitants, and wrenched from the home government leave to govern itself, by the aid of a schout, burgomasters, and schepens, when King Charles II., of pious memory, coolly gave a grant of the entire province to his brother James, Duke of York, who forthwith proved his right (that of the strongest), and put an English governor in place of Peter Stuyvesant, called by Knickerbocker, "a tough, valiant, sturdy, weather-beaten, mettlesome, obstinate, leathern-sided, lion-hearted, generous-spirited old governor," who nearly burst with rage when obliged to sign the capitulation, and who finished by dying of sheer mortification on hearing that the combined English and French fleets had beaten the Dutch under De Ruyter. Nine years after, the tables were turned, and Dutch rule once more brought in sour-krout and oly-koeks; but, in 1674, New-York became English by treaty, and so remained until November, 1783. Since that epoch, although growth and prosperity have been the general rule, yet the island city has had her ups and downs, by means of fire, pestilence, war, embargo, mobs, &c., quite enough to stimulate the energy of her sons and ripen the wisdom of her councils. In 1825, the completion of the Erie Canal, which united the Atlantic with the great lakes, gave a prodigious impulse to trade. In 1832 came the cholera, threatening utter desolation; and in 1835 a fire, which consumed property worth twenty millions of dollars. Yet, in 1842, the Great Aqueduct was finished, at a cost of thirteen million dollars. Thus much premised, let us look at New-York of to-day. "She has no time To looken backe, her eyne be fixed before." In describing American towns, if we would make our picture a likeness, we must "Catch, ere she change, the Cynthia of the minute."