Bill,
The 102nd (North British Columbia) Bn CEF was perpetuated by the North British Columbia Regiment, who's "Home Station" was Prince Rupert.
The North British Columbia Regiment became, eventually, the 120th Independent Field Battery, RCA in 1956, and in 1958 amalgamated into the Irish Fusiliers of Canada, as their D Coy. The Irish were reduced to nil strength on the 31st March, 1965.
Not all CEF Battalions are perpetuated.
Hope this helps.
Cheers,
Bill N.