Without knowing the family they certainly look like a match. There appear to be 3 profiles, given as brothers when they are the same person, Loggains-4, Loggins-37 and Loggins-80.
The reason for rejection appears to be that Major Loggins-37 did not have a daughter named Lucinda, whereas you have evidence that he did.
Have you specifically pointed out the obituary evidence to the profile manager, or did you just suggest the merge? He may not have read through the daughter's profile if being asked to merge the fathers', especially if he was unaware that a daughter existed.
I suggest you send him a private or public message, outlining your sources. There then is a merge necessary for all 3 Major's, with 2 sets of parents which also need merging.
Edited - I have just realised that Elizabeth Clayton is down as married to the 3 different Major's - don't understand why the merge has been rejected!