That's why one must check for the reliability of the sources.
Besides your source, here are other claims from one site:
http://www.barefootsworld.net/13essay.html; http://www.barefootsworld.net/orig13th.html. Peer-review doesn't ensure truth, but it's the best we have. Here is a peer-reviewed publication, found on the net, debunking these claims:
http://www.thirdamendment.com/missing.html. I'll go with peer-review. Here's an instructive paragraph from this source: "When TONA was submitted to the states in 1810, 17 states were members of the Union; 13 ratifications were required to make the amendment part of the Constitution.(120) But Louisiana was admitted to the Union on April 30, 1812; the number of state ratifications required to make TONA part of the Constitution thus rose to 14. Prior to that date TONA had received only 11 ratifications,(121) so it was never a single ratification short of immortality. New Hampshire ratified TONA on December 12, 1812,(122) again placing the amendment within two states of becoming part of the Constitution. But Indiana was admitted to the Union on December 11, 1816, and was followed by Mississippi on December 10, 1817 and Illinois on December 3, 1818, with no further ratifications emerging. By 1819, therefore, the threshold was 16 ratifications, and TONA fell four states short. If Virginia ratified at any time, it did not matter, but by 1819 it was far too late."