Hi Emma,
Firstly, :welcome: to the best forum about tiles and tiling in the world
My initial reaction would be to contact a tiler restorer and have them come and evaluate what you have down; determine what kind of stone is laid and how old it might be. It may be more hard work to have them taken up one by one, particularly if they have been down for a substantial amount of time.
Do you know how old your house might be? And do you know if the stone was installed when the house was built?
Just something else to consider is, if the stone was one of the original features of the house, and you had it removed, would that have a negative impact on the value of the house?
One of our new members Floor_Restorer may be able to help you more. If you let us know where you are located, one or two of the local members may be able to pop round and have a look.
And finally, you'll probably find you'll get more responses after 5ish today as lots of the pro tilers will be working right now :20:
Enjoy the forum, it's a mine of useful information :hurray: