I don't think you will find live oil prices for free. Unless you have a futures account with a broker that offers live prices quotes.
New York exchanges particularly Nymex where crude is traded charge hefty prices for access to their live price data. Selling price data is good business for them.
Im neither recommending nor talking against CGI brokerage services. I just have no idea about how those services are. Just saying I use their charts for oil prices some other commodities.
synthesis platform synthesisbank has live quotes of future contracts traded via globex their charts are delayed but the quotes are live i cheked it with cmelive account.
good trading