It's not showing as compatible. But if you would post photos of the inside of both we may be able to spot if they actually are.
Donor
Apple MacBook Pro "Core i7" 2.2 15" Early 2011 Specs
Identifiers: Early 2011 15" - MC723LL/A - MacBookPro8,2 - A1286 - 2353-1*
Good part from 2011
MacBook Pro 15" Unibody (Early 2011-Mid 2012) Upper Case
Listed COMPATIBILITY
MacBook Pro 15" Unibody (Early 2011/Late 2011/Mid 2012)
Models Model Numbers Options
MacBook Pro 15.4" 2.0GHz Core i7 (A1286) - Early 2011 MC721LL/A Early 2011 (661-5854)
Early 2011 (661-5854) - USED
Early 2011 (661-5854) - Grade B
MacBook Pro 15.4" 2.2GHz Core i7 (A1286) - Early 2011 MC723LL/A Early 2011 (661-5854)
Early 2011 (661-5854) - USED
Early 2011 (661-5854) - Grade B
MacBook Pro 15.4" 2.3GHz Core i7 (A1286) - Early 2011 MC723LL/A Early 2011 (661-5854)
Early 2011 (661-5854) - USED
Early 2011 (661-5854) - Grade B
SPECIFICATIONS
Apple Part #:
661-5854, 661-6076
Recipient
Apple MacBook Pro "Core 2 Duo" 2.53 15" (SD) Specs
Identifiers: Mid-2009 15" - MC118LL/A - MacBookPro5,4 - A1286 - 2324*
MacBook Pro 15" Unibody (Late 2008-Early 2009) Upper Case
COMPATIBILITY
Unibody 15" (Late 2008) MacBook Pros
Unibody 15" (Early 2009) MacBook Pros
SPECIFICATIONS
Apple Part #:
661-4948
Models Model Numbers Options
MacBook Pro 15.4" 2.4GHz Core 2 Duo (A1286) - Late 2008 MB470LL/A Late 08/Early 09 (661-4948) USED
Late 08/Early 09 (661-4948)
Late 08/Early 09 (661-4948) Grade B
MacBook Pro 15.4" 2.53GHz Core 2 Duo (A1286) - Late 2008 MB471LL/A Late 08/Early 09 (661-4948) USED
Late 08/Early 09 (661-4948)
Late 08/Early 09 (661-4948) Grade B
MacBook Pro 15.4" 2.66GHz Core 2 Duo (A1286) - Early 2009 MC026LL/A Late 08/Early 09 (661-4948) USED
Late 08/Early 09 (661-4948)
Late 08/Early 09 (661-4948) Grade B
MacBook Pro 15.4" 2.8GHz Core 2 Duo (A1286) - Late 2008 MB471LL/A Late 08/Early 09 (661-4948) USED
Late 08/Early 09 (661-4948)
Late 08/Early 09 (661-4948) Grade B
MacBook Pro 15.4" 2.93GHz Core 2 Duo (A1286) - Early 2009 MC026LL/A Late 08/Early 09 (661-4948) USED
Late 08/Early 09 (661-4948)
Late 08/Early 09 (661-4948) Grade B