Hi Steve,
I also started with some of the lenses mentioned above. Most of them are really useful. Personally, I would not recommend the 500mm mirror lens. The exposure times for this long focal lenght may be a bit challenging. I think, that there are better choices. I bought a 300mm f/4 Canon L lens without the image stabalizer. There are some cheaper (500€-ish) ones out there. They are quite old but still have a really good image quality with an aperture of 4. But the lenses don't have to be that expensive. Any newer used lens will usually produce a good image quality.
I would suggest the road that Jelle is suggesting. A tracking mount for the camera is even more important. If you spend half the money on a sky tracker or something similar, then you still have some money left to buy a lens, too. The nifty fifty (50/1.

is really cheap and offers a lot of oppertunities. A lens in the 200 to 300mm range offers a more detailed view to some objects. Search the web for some trackers, read some reviews and then decide. Otherwise, chances are that you will not be satisfied with your results.
A second thing, you should keep in mind. A lens for a DSLR has to be sharp for all object distances. So there must be a compromise for the makers to offer a decent quality for all of them. That said, there is some kind of compromise for the infinity focus setting. A photo lens will usually never be as sharp as a good telescope.
I really suggest to buy a tracked mount. If you'd like to upgrade later, this mount can be used for a second setup. This is how I use my old mount today. Of course, you can take images without that mount. But I guess that you will soon recognize that you want more.
This is just my personal opinion. I went through that process myself and spent a lot of money on more or less useless equipment. I do not regret it, but if I'd bought the right stuff from the beginning, it would've been much cheaper for me ;-)
Greetings
Christian
Oh, I just recognized that your budget is 100 pounds instead of 1000. So the nifty fifty is within your budget. Maybe you can find a fast 85mm lens. Stay away from one of the very old Sigma lenses for your camera. They may have problems with the DSLRs, because they can't handle some of the communication between the lens and the body…