In general,you make an offer on a house you have viewed with a realtor or the owner. if the offer is accepted, then it's a good idea to have a real estate attorney review it and hammer out a contract. The contract may go back and forth between owners and buyers attorneys until everyone is happy with the terms.
In the meanwhile, financing is being acquired by the buyers if not already. The title company will review the court document,property ,deeds information and try to find out if there are any 'clouds" on the title.
in other words, are there any liens and have the taxes been paid?
also a building inspector may be hired to check for termites, and structural problems.
if everything is in order, then a closing date will be determined,depending on your locale, it could be 30 days or 4 months. The title company and/or closing agent will make the arrangements and everyone meets and the buyers hand over many checks, while the owners hand over the keys.
This is a simplified version and yours may be a little more problematic.