How about this?
Get-ChildItem | Sort-Object LastWriteTime | Select -First 1
Basically just sorts in ascending order and returns the first value (i.e. the oldest)
First, I want to thank you for your help. Second, I want to thank my brain for making this more complicated than it needed to be. I don't know how many times I've sorted things that way, but for some reason, I did not think of it in this case. Well, I need to always remember to keep it simple. Thanks again.