The leaves look like polyanthus to me. I have never seen one that looks like this one though.

That looks like a cross between the pink version of the common primrose (where it has crossed with the 'polyanthus' types) and a Cowslip to me.

the primulas are very promiscuous tut tut. I suspect it is a hybrid between them. there is a red form of cowslip but the flower form is wrong for that.

Owdboggy and Seaburngirl are right. A cross. The leaves have the distinctive short 'stem', making them 'spade' like, a legacy of the cowslip lineage showing through. (Primroses are longer in the leaf). The colour will have come from a pink primula somewhere nearby, and the inconsistency with the single/multi stem characteristic is because it's a hybrid. Worthy

Thanks for the replies, they all make sense.
Is it possible to have it recognised as a new plant and how would I go about doing that? I already call it A L Burr, after my Dad.

I am not sure that it is sufficiently different or unique to be worth the effort of having it registered as a new plant. That can take a very long time. Some firends have been having a Geranium assessed, accepted, propagated and now on sale and it has taken over 5 years.
You can of course propagate it and sell it under any name you choose.
I must also say that I pull out and compost very similar ones every year from our garden.