There are several Taurus 2+speed fan wiring diagrams on the Internet if you search "Taurus fan wiring" .Some have more features than the helpful diagram above.Don't get muddled with the twin fan set-ups(Ford Contour).
Instead of relays,I looked at several more sophisticated controllers(Summit Racing) -Spal,Dakota,Flex-a-Lite and DCC .I decided to go with DCC despite the warnings about delays in shipping and rather spotty customer service. DCC is owned by a Brian Baskin who seems to be a very competent electronics entrepreneur. Like him ,my social skills are also best described as 'spotty' so he seemed a kindred spirit.His product gets excellent reviews and it has been available for many years-so is well proven and reliable.
The virtue of these sophisticated controls is the soft start and variable % of power. My alternator is stock and I have only one battery -they run a large hydraulic pump for the dump bed I fitted. I have to let the engine idle while dumping and if the weather is hot, the a/c is on +the big fan.I did not want to overburden the charging system while dumping.The DCC controller is not much more than buying 3 Bueller relays and the diode (required to stop the back-feed when the a/c is running in some configurations). I like wiring up my own circuits and have done this circuit before on an XKE with a Lincoln Mk V111 fan. I just wanted to try something different.
DCC's spartan website might alarm you but all you need is there but not one superfluous word!
http://www.dccontrol.com/selector.htmIf you are buying a Taurus/Lincoln fan ,be sure to know what exact vehicle & year it comes from.You need this info to get the correct 3 wire connector to the fan motor. The fans go for about $100 on EBay.The connectors are expensive($30+) unless you know the exact info to get a generic one- so try to buy a fan with the connector and as much harness as possible. Remember there is a very convenient plug for a temperature sender next to the thermostat.You just need a good quality Allen socket (9/16"?),PB Blaster and lots of patience to let it soak in.
Remember you must NOT power both the low and high speed circuits simultaneously.I mention this in case you decide to design your own circuit. 87 & 87A are your friends!
I hope this is helpful.