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The stocking knitting frame had been invented quite a while back but it did not catch on for a very long time due to the fact that there were so many hand knitters that the stocking machine would have put them out of bread and thus it was suppressed. Nevertheless very fin silk stockings were produced by hand as well, all having a clock, something that modern stockings never have anymore, a feature missing at the ankle of every re-enactor.
Not only silk stockings were worn though, but the common people wore woolstockings and also linen stockings. Even Samuel Pepys mentions putting on his new linen stockings, though it seems that what he means are rather a boothose or canions. Stockings for the poor could be knitted or cut out of fabric on the grain. It appears though that by this time most stockings were knitted, this being more durable apparently, and readily available.

1660-63 White silk stockings, tight at the leg, the creases and shimmer can be seen well. Long, going over the knee.	1660s Blue silk stockings and very those this gentleman wears lose white stockings which appear to be boothose, but worn with shoes and not boots, as was fashionable for a short period of time in the early 1660s.
1660s Long white silk stockings held up below the knee with black garters.	1660s detail on a wedding fan of the traditional 'undressing of the bride' with her stockings being pulled off her legs.
1662 Natural coloured woollen stockings on a Dutch poultry seller.	1665-68 Long stockings which seem to be made from a wool or perhaps linen.
1668 Bright orange red silk stockings on this Dutch gentleman.	Woollen brown stockings, the clocks are visible at the ankle.
Woman putting on her blue stockings in the morning.
1725 Much later, but the stockings give a good idea of what the earlier ones would have been like.	Late 17th c. clocked stocking.