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The Heritage Directory reports that peg tiles were introduced in the 12th century and "were the universal form of plain tile till the 19th century". Specifically, "[b]y 1850, nib tiles were being used and were common by the 1880's."
The City and Countrey Purchaser, and Builder's Dictionary of 1703 describes curved "Flemish" tiles that "have no holes for Pins", so curved and lapping tiles also appeared during the period when pegs were used to fix plain tiles.