I also don’t think you’d walk all that way to the centre of Accrington if you were going shopping, plus phone was off or had died and she didn’t take a purse so wouldn’t have been able to pay for anything using Apple Pay ( unless she took cash but left her purse. And you wouldn’t want to carry much back home with the distance. There are a few shops nearby maybe 15 min walk from the park open late like B and M and Home Bargains so you could go for a browse there but I’m sure police would have checked CCTV all along the main routes so I don’t think she visitors these, or other shops.
I agree with you. There's definitely something not right here. Something missing somewhere