First, The title (as of typing says):
Historical QUILT wearing . . .
Do you mean: Historical KILT wearing . . .
(I am assuming so)

As for Victorian kilts, THAT was part of the first "kilt boom" and the source for many of our "modern" kilt traditions (modern in the sense of traditional today).
Many also wore tweed kilts (the source of Matt Newsome's tweed box kilts), as is shown repeatedly in Bob Martin's book.
If you are going to be using kilts in a story based on the turn of the century 1900,tou might like to get a copy of Erskine's book:
The Kilt & How to Wear It by The Hon. Stuart Ruaidri Erskine (1901), with annotations by Bob Martin
The late 19th century produced renewed interest in Celtic studies and in the dress of the Highland families. This work by one of the leading authorities of his day examines the extent of Celtic society, the origin of tartan, the supremacy of checks over family tartans, the evolution of the kilt, and the origin, coloration, and style of the other component parts of Highland dress. Erskine refutes many of the arguments of Lord Archibald Campbell regarding the antiquity of family tartans, and while stressing the use of authentically Celtic colors and styles when possible, presents a convincing case for the kilt and its accoutrements as a living and evolving style of dress. Kiltmaker and kilt historian Bob Martin has gone through the text line by line, and has annotated and commented on aspects of Erskine's ideas with particular attention to their relevance for those wearing the kilt today.
Spiral bound paperback for $13.95

Available through the Scottish Tartan Museum:
http://giftshop.scottishtartans.org/books.htm

As its written in 1901, it would give an EXCELLENT idea of what was "contemporary" traditions them (ie, what they would have seen as traditional in 1902, the date of your story).