Hi and welcome.
From my understanding of Restless Leg Syndrome it does not include burning. It usually occurs at night and causes the person to have an Uncontrollable need to move usually their legs. That's why their magazine is called "NightWalkers."

I have read that people can have peripheral neuropathy and secondary RLS. I don't believe it is that uncommon and in fact I've been diagnosed with both. Pubmed had some studies that I remember seeing about this.

Hope this helps. If you want PM me. I had first thought my primary condition was Restless leg syndrome and did some research I could share. This being a PN forum I would not post it here. Carol