Strange housing situation

Hello all I have a strange situation and I'm wondering how I explain it as I’ve just got the dreaded migration notice. I own the house I live in and share with my friend (also she’s my cousin) this house was given to me by my parents about 8 years ago. My friend and I both pay a small amount ( me £25 and her £250) a month into an account my mum owns so she can take care of house insurance and various repairs, this was something that happened even before I was given the house. At no point have I ever claimed housing benefit nor have I had access to the back account we pay into. My question is are the DWP going to see an issue with this? Also does cousin count as living with a relative for dwp ?

Yes I'm the deed owner and have no plans to claim housing benefit, I'm currently support group ESA moving to UC. My cousin isn't claiming anything and I have nothing to do with her finances. We are both 40.
I just really want to know if the DWP are going to want to know why my cousin isn't paying me rent.

Thankyou, I did think it would be strange for them to ask but I do tend to over think things. This site helped me a great deal many years ago when I was assessed for the support group and I'm very grateful you are all still around to help with this