Disability Discrimination Law for Public Spaces

Hi everyone,

My daughter (9) and I both have a range of disabilities, we are also both interested in Arts and Crafts.
Since being dismissed by my former employer on “efficiency grounds” and with the continued assault on state help for disabled people I have been looking at becoming a franchisee for an Arts and Crafts class provider with a special interest in SEND.
My local and much library is small and hosts a great deal of local authority run, free classes- which are fantastic but as you may imagine somewhat limited in terms of budget and that of the two staff on duty one has to run the club and the other has to manage the rest of the library. As you can imagine it can become fraught and noisy which is not very inclusive and welcoming to other library users.
There is a large room in the first floor of the building which is available for private hire which I could use as a base for delivering sessions.
However it would immediately restrict my clientele to full ambulent persons and families with children no longer in pushchairs.

I would like to base my business at this location for a number of reasons including proximity to public transportation and parking but I want to be fully inclusive and accessible.

Does anybody know where I can find case law examples to try and convince the Council to install a lift to make the first floor room a viable option for everyone.

The staff in the library are of the belief that because other libraries in the area are accessible (notably without the public transportation and parking strengths) that the funding would never be granted.

I would be very grateful if any of you have legal knowledge and/or experience of dealing with local authorities.

Thank you for your time.