I have an .MDB file dated 2004 created by QEFamily Tree dated 1999. Would your program Family Tree Heritage read (and update) this file - or convert?
No, Family Tree Heritage won't open MDB files. I've checked its support pages for this application, but there wasn't anything mentioned about the MDB file, therefore I can conclude that it won't work.
These are the file formats supported officially by the Family Tree Heritage: