Reverse Engineering of a DB without foreign keys
Solution 1:
I don't think there is a universal solution to your problem. Hopefully there is some sort of a naming convention for the tables/columns that can lead you. You can query the system tables to try and figure what's going on (Oracle: user_tab_columns, SQL Server: INFORMATION_SCHEMA.COLUMNS, etc.). Good luck!
Solution 2:
I also don't think you'll find a universal solution to this... but I'd like to suggest you an approach, especially if you don't have any source code that could be read to guide you on mapping:
First scan all tables on your database. With scan, I mean store table names and columns. You can assume columns types trying to convert data to a specific format (start trying to convert to dates, numbers, booleans and so on)... You can also try to discover data types by analysing its contents (if it has only numbers without floating points, if it has numbers with slashes, if it has long or short texts, if it is only one digit..etc.).
Once you have mapped all tables, start by comparing contents of all columns that has a numeric type. (Why? If the database was designed by a human... then he/she/they probably will use numbers as primary/foreign keys).
Every single time you find more than X successful correspondences between the contents of 2 columns from 2 different tables, log this connection. (This X factor depends on the amount of records you have...)
This analysis must run for each table comparing all other tables... column by column - so... this will take some time...
Of course, this is an overview of what need to be done, but it is not a complex code to be written...
Good luck and let me know if you find any sort of tool to do this! :-)