I could not find a copy in either the Birmingham City Library or University Library. I did locate these copies in UK.

Aberystwyth University, Library, Penglais, Aberystwyth, Ceredigion, SY23 3FL:

Available at External Store:

http://primo.aber.ac.uk/primo_library/libweb/action/search.do;jsessionid=30B4268575E750B73AB2BB8ADF8C52F1?fn=search&ct=search&initialSearch=true&mode=Basic&tab=local&indx=1&dum=true&srt=rank&vid=ABERU_VU1&frbg=&tb=t&vl%28freeText0%29=Narrative+of+the+Eventful+Life+of+Thomas+Jackson&scp.scps=scope%3A%28ABERU_LMS%29%2Cscope%3A%28ABERU_SFX%29%2Cscope%3A%28ABERU_ML%29

University of Leicester, David Wilson Library (Special Collections) - Leicester, LE1 9QD United Kingdom:

David Wilson Library:
Shelf Mark Item ID Holds Location.
SCS 00582 [NON-CIRC] 612036-1001 -
Rare Books - to request use Place Hold

University of Liverpool Libraries:

Sydney Jones Library Special Collections/Archives (check locally for hours of opening):
Shelfmark: SPEC Peninsular 78
Availability: USE IN LIBRARY