Casually Searching various census websites, and nothing comes up for a Pearson family with a family member named Raymond living in Florida circa 1910 (Granted, the data could be incomplete). There were certainly several people born @1900 named Raymond Pearson, but not in Florida that I see.
That missing year between his state track championship appearances might be explained by Pearson moving back and forth between Florida and somewhere else??
I should have bookmarked it, but I found a site with copies of WW1 draft cards, but none for a Raymond Pearson living in Florida. But, again, he may have left Florida by then.
This is interesting. And who knows, Raymond could have been his middle name.