Here are some examples for searching the IGDB:
I want to see all games from McLoughlin Bros. starting with the letter "T".
OK, then search for games from publishers starting with "mcl" (e.g. McLoughlin Bros.), and with titles starting with "T".
I want to see all games relating to Basketball
OK, then search for games from all publishers and with titles including "basket" (whether at the beginning of the game title or not).
I want to see all games produced by Cadaco
OK, then search for all games from the publisher Cadaco. Note that this will find games published by Cadaco under its various corporate names.