Hmmm, not sure what amount you're looking to borrow, and to be honest I don't think you'd be able to afford your stipend alone these days. In terms of whether banks/building societies accept stipends as income, this can be tricky but is possible. My husband and I bought our home a couple of years ago, he was the major earner, I had the stipend. Halifax considered my stipend as income, they requested a letter from the stating what it was for, etc. I believe HSBC will allow stipends to contribute to a mortagage application too.
I also know a friend bought a house on her own - several years ago before the house prices in the UK rose to stupid levels. Her stipend was her main source of income, and she got a mortgage with it. Not sure which lender she was with though.