Might be bobbins but when i was stripping an old MGF i remember disconnecting the power leads for the mirrors from inside the door card, thats the easy bit.
The electric mirror toggle thing is as David says all i saw was a connector block, but no idea where it went? Eventually it went behind the clocks and into the main loom.
What you need to do i think is to go to a scrapyard with a scrapped F and start taking the loom apart with photos OR if you phone up one of the nice breakers like http://www.mgfntfbitz.co.uk/ they might tell you how to do it as they've stripped hundreds of these cars.
A bit of googling reckons:
"No chance of getting the connectors though, and the wiring is buried in the main loom.
I have easy access to connectors and wire so I made my own loom. I soldered short wires on to the back of the switch and used my own connector there. I also re-used the old heater connectors then used an additional four way connector for the movement.
Took power from the electric window lift right behind the Fuse/MCU thingy. I didn't change the fuse as I'm not dexterous enough to wind both windows AND both mirrors."
http://www.mg-cars.net/mgf-technical-bbs/electric-mirror-conversion-2006022517464710914.htm
These are decent links:
http://www.mgfregister.org/forum/viewtopic.php?f=8&t=7274
http://www.mgfregister.org/forum/viewtopic.php?f=8&t=3471
http://www.mg-cars.net/mgf-technical-bbs/electric-mirror-wiring-200409061047059217.htm
What i'd be tempted to do if you can't do this is to make your own loom by getting a power feed from one of the common switched wires with a switched fuse. Run this to both electric motors and the switch. There is cig lighter or some of the wires that run on the passenger side of the car.
Scrapyard plan is a better one, take a notepad and photograph everything, then its easier making your own loom up when your on your car.
Also some of the looms of other rovers can be used on your MGF so don't dismiss the Rover 25 / MG ZR looms, they might just work with a bit of TLC.