I guess you a basically looking for survivor accounts of actual evacuation incidences specifically related to occupant pre-evacuation/pre-movement/response times (see this paper for a nice discussion of the definitions http://www.evacmod.net/?q=node/2214).
There are a number of official reports of actual evacuation incidence on Evacmod though I know it can be hard to get people to accurately recount how long it took them to perform tasks.
Here are a few reference which 'might' be of interest:
"The UK 9/11 evacuation study: Analysis of survivors’ recognition and response phase in WTC1 "
"An analysis of the recognition and response behaviours of evacuees of WTC 1 on 9/11"
"Report to the Secretary of State by the Chief Fire and Rescue Adviser on the emerging issues arising from the fatal fire at Lakanal House, Camberwell on 3 July 2009"
(this was an apartment block fire where a number of families were located but many of whom stayed in their apartments despite seeing flames/smoke spread up the building)
"Occupants' behaviour in response to the high-rise apartments fire in Hiroshima City"
I guess looking at tower block apartment fires could be a good place to start as occupants might be more reluctant to evacuate their own home considering it has all their personal belongings etc.
hope this helps.