At this stage, they should be developing the skills needed to use WWW pages but probably will have an unsophisticated approach to finding books. A helpful interface to a catalogue would allow a variety of things, for instance searching for a known book and identifying its location in the library. More interesting would be the problems of allowing subject access to the books and dealing with misspellings. There is some scope for innovation in producing an appropriate solution for this problem. The system would also have to allow the creation, editing and deletion of data from the school's library catalogue.
Most people seem content to produce lists of ancestors or people with particular surnames.
As yet, there seems to have been little done on producing records of who has been interred in particular places. This purpose of this project would be to demonstrate the feasibility of a WWW-based search interface to a database of burials in a particular churchyard. There are several problems to be solved here. You would need to investigate what data needs to be recorded about each internment, including a way of pinpointing a memorial so that it can be found without having to ask a local guide. You would also need to design a suitable interface that would allow users to find the information that want in a convenient way.