Doris, I am dying to exchange information with you. Seems you have the same problem I do, which can be solved the same way I can solve mine. Looks like you're in the Houston area. Please e-mail me directly, and we can get each other's phone numbers.
Most of the PA Ream line used the spelling REAM. My Tobias' son passed down the spelling Rheams, but his daughter Nancy, my ancestor, brought Reams to Texas. I guess whoever had to write their name spelled it whichever way they could figure out.