There are 4 kinds of diff. The early 70-73 1600 had a Type A Escort style Spud/Lift out diff about 6.5" crown wheel, 3.89 or 4.11:1 gears. Piece of crap.
The 2000cc before mid 1972 had a Type B Salibury (7" crown wheel or so), found in all NZ and Pommy 2.0 Cortinas from 1970 to 1983, all German Capris 2.0, 2.3, 2.6, 2.8i. It has 3.75 or 3.45:1 gears, and is a leaf sprung Atlas varaint which was used in Capri V6's and in Vuaxhall Chevette rally cars. There are a bunch of strong ratios, 3.22, 3.09:1, and a Limited Slip Diff option for the Capris. The diff isn't that strong, but it can cope with a mild 302 in a light car.
The Borg Warner 78 ( 7 7/8" crown wheel) is a Falcon diff, found on the first XR's in 1966, and used until recently in the AU III's. I think the utes use it still. It has had 7.625 and 7.7875" crown wheels, 25 or 28 splines, has been used in Cortina TC, TD, TE's but not TF's, used in the P76, Centura, Valiant, Commodore from 1984 to 1996, the Aussie Pintara, Skyline. In 1991, it became a BTR diff as Borg Warner got a name change.
The TF Cortina used a Borg Warner diff, common to Toyota Coronas, Bluebirds, Sigmas. It ran Falcon style ratio's in the six cylinder version with 2.92, 2.77 ratios. I haven't had a look at the Gregories TFCortina handbook in years, but I think the Cortina four had either 3.42, 3.32, gears.
My mate had a US Capri/Mustang V6 in his Pommy TD Station Wagon. He ran what he said was a 3.32 ratio crown wheel and pinion in the stock Type B Salibury diff. It could be that the Salisbury is the same as the TF Cortina diff. I don't know!
Your best bet is getting a TE 4 diff. I don't know how many bolts it has, but I do have the 3.7:1 centre under my house. And a 3.23:1 Falcon centre. Both diffs are only 7.625", not 7 7/8 ths.
The second best option is to just get a 31 spline, drum brake, LSD 3.9:1 diff from the latest rear drive Toyota 3.0 Diesel Hilux. I'd lend you mine, but my boss would want it back!