@piperchick - I pulled this from the Surname Database which is maintained by name origin researchers based in Ireland I believe. This may explain why your Scottish name Crichton is affiliated with the Edinburgh District Tartan:

This is an interesting name of Scottish and English origin and is locational from a place so called near Utloxeter in Staffordshire and Crichton near Edinburgh in Scotland. The derivation of Creighton (in Staffordshire) is from the Olde Welsh pre 7th Century "creic", a rock, and "tun", a farm or settlement, thus a place built on a ridge, and it was first recorded in the Red Book of the Exchequor of 1166 as "Crectone", and in the Assize Rolls of 1222 it appears as "Creiton". However the place name in Scotland is derived from the Gaelic "crioch", a border or boundary and the Olde English pre 7th Century "tun", thus a farm on a boundary. The earliest recorded spelling is "Crechtune" circa 1145 and "Creigchton" in 1367. One Richard Creighton married Margaret Bridd on 26th June 1568 at Trentham Staffordshire, and records in the same county show the christening of one Hannah Creighton daughter of James and Emma Creighton on 2nd March 1755 at Newchapel. The first recorded spelling of the family name is shown to be that of Turstan de Crectune, witness of King David's Charter. which was dated circa 1128, Edinburgh, Scotland, during the reign of King David 1, of Scotland, 1124 - 1153.

Read more: http://www.surnamedb.com/Surname/crichton#ixzz2bCtvgt5T