Is the birthplace of Stephen Foster still a big attraction? He was probably as close as anybody came to being the Beatles of the 19th century.
Right off the top of my head, I don't know what the typical gate receipts are for the Foster Home Tour. However, I would suggest that Foster's music has more 'lasting' value, but that's just my own personal bias I suppose.
Would it be appropriate for tax money to be spent on carefully disassembling the Foster house, brick by brick, storing it and reassembling it exactly as it was at a different location?
I'm not sure.
Actually, Stephen Foster's home has been preserved, and is still a tourist attraction. It was moved to Greenfield Village at the Henry Ford museum in Dearborn, MI. I've been there, and it's pretty cool.