The Lazarus website can be found in the wayback machine, and the FAQ says the database is an SQLite database in one of the following directories:
Windows 7: C:\Users\\AppData\Local\Google\Chrome\User Data\Default\databases\chrome-extension_loljledaigphbcpfhfmgopdkppkifgno_0
Ubuntu: ~/.config/chromium/Default/databases/chrome-extension_loljledaigphbcpfhfmgopdkppkifgno_0
Mac OS X: ~/Library/Application Support/Google/Chrome/Default/databases/chrome-extension_loljledaigphbcpfhfmgopdkppkifgno_0
On my Fedora machine, it was the directory ~/.config/google-chrome/Default/databases/chrome-extension_loljledaigphbcpfhfmgopdkppkifgno_0/