Hi ... I'm not sure I understand what you want to do.
You ask if a variable can specify a "database" name ... the answer is yes. You have to assign the "database" name to a character variable. In your example STORE T1969 TO INQ_LIST you are missing the quotes. If instead you typed STORE "T1969" TO INQ_LIST, you could subsequently, among other things, execute USE &INQ_LIST and things like that.