Absolutely, although this case would be a low priority for two reasons: 1. There is no apparent vicitm (subject to DNA); 2. Any DNA against a crime victim, missing person, etc., would be prior to 1988, which is when the DNA profiling was first used in a law enforcement case. So, if she did herself have a criminal past, there is virtually no chance of her DNA being retained - and if she were a minor at the time of any crime she committed, her fingerprints might also not be available. Additionally, any missing person would not have had a DNA sample on file, at least at the outset of the case, although family members might have provided one later. If DNA resources are under a great deal of pressure, it may well be that no DNA sample has been submitted for those reasons, with other cases going ahead of it in the queue. (But I agree that closing this case will likely depend in some way on DNA comparison).