Chances were proving increasingly few and far between in the second half until Hull midfielder Paul McKenna drove horribly wide after neat work from Robert Koren.
The same two players combined again to give Hull the lead with Koren advancing into space down the right flank and whipping over an inviting cross into the path of Garcia, who headed home superbly.
Morrison had already put West Brom ahead after being allowed acres of space in the box while Robert Koren had missed an one-one with Robert Green when Noble equalised after Di Michele's header had been saved.