Sorry for overposting. As there have been huge response to her FB appeal and million information and brainstorming most of the day about her case, she is strongly on my mind. Adding few extra scattered thoughts (not facts), all just in my humble opinion.
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Her murder occurred not far from her dumping spot, few miles radius circle from where she was found. My reasoning - if it happened on the outskirts of the city, you would NOT travel to city centre to dump her but rather opposite, outside of the city - secluded area.
Her murder happened inside of the dwelling rather then outside. Dwelling could be private house, pub, hotel etc. Reasoning - long orange carpet is very likely from the place where original crime occured. Person removing her body grabbed what was nearby to conceal her when moving her from place to car but also to carry her easier by one or two people. Carpet is quite narrow and very long which would be unusual to have at home or to have such a long home corridor/room (in UK). Of course I could be wrong. I could see it rather as pub, hotel or some other place carpet. Perp/s was very likely owner or staff of the place where carpet was taken from, or lived there. Find where this carpet is from and you find the murderer.
(some weird pattern/design on this carpet. Can't figure out what it is or how it would look like as new)
To add, I don't think she was killed at her own home/place. If she would have been removed from her own home and dumped elsewhere then there would be nothing else dumped with her (certainly not her jacket) or there would be more items.
To state the obvious, her murderer was very angry at her for certain unknown reason and bludgened her to death, then raped her. Or raped her and then beaten her to death.
Her body was found half naked. So no removal of all clothing after the murder but also no putting back on her cloth by perp to conceal ID or sex assault. Perp simply transported her how she died in place A to dump her to place B. Quick. What is more strange to me though is that perp collected most or all of her items from crime scene A and dumped it next to her in place B. So no leaving things behind where crime occured as many murderers do, but rather clearing it (due to being his work place or other reason?). Also no driving around to dump her belongings whereever, in different bins or other places on the way. It would suggest that he transported her body there very shortly after the murder but also that it was short journey.
There is no mention of any jewelry found. Which for someone dressed in dress and nice high heels is a bit unusual. No rings, no earings, no necklace, no watch. Was it robbery or did he keep it as a trophy?
Empty handbag - most likely concealment of her ID, but also could be part of the robbery. Makes me also think that he could have used it to store and carry her dress, jacket, thights and shoes from A to B. He did not carry her items without some bag all the way and no other bags were mentioned to be found.
While alive she was dressed in jumper, quite long thick dress with tights underneath and having jacket on top, suggesting crime did not happen in summer month but rather in spring or autumn months.
Her body was transported in Ford Cortina. Only reason perp would have to remove the car carpet and dumped strangely next to her, is that there was something on that carpet. If it was blood, it would point that she was not transported in carboot as usually murderers do but rather inside of the car (strange). Another thought would be that murder could have actually happend in that car but I would rule that out as if that was the case you do not go then back home to look for the carpet, take her out of the car to wrapped her in it and put her back inside of the car. No chance.
There were burns on some of the carpet/s which seems that after the dump he tried to ignite all the evidence. For whatever reason it did not work out. Some of the news articles suggest that fire could have been at original crime scene. While that is interesting thought and should be looked at fires nearby, I lean on 1st option - fire attempt at dumping spot.
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Please feel free to brainstorm, add or dispute any of my scattered thoughts. Of course I might change some of my thoughts when rereading above in few days time.