Very clear. Many thanks to you both. In this case, Liz, the item of leasehold is not stated. But I am very suspicious. The 1890 will was my great grandfather, and I suppose he had a lease (as we call it) on his house. It seems reasonable since his wife lived there until her 1902 death. That is, the 1890 will said to her, no money but a leased home to live in. But the 1902 will is nonsensical. So probably the 1890 leasehold idea has nothing to do with 1902.
And, Malcolm, I did contact Southampton's library knowing from my visit many years ago there that they had a wonderful collection for genealogical searches. They directed me to Portsmouth's city library that never answered my simple question. So, I'll try your genealogical reference. During the interim, interestingly, I was informed about the idea of Poget's Directory.