Hello, and welcome!
After trying out a number of 'lightweight' distros, I'm also running Linux Lite on an old Compaq laptop or two (Evo 600c, Presario 2570us). The Evo has a P3-1GHz CPU; the Presario, a P4-2.4GHz.
Both of them only have 512 MB RAM, yet LL still performs satisfactorily. It beats just having 'em sitting around corroding and gathering dust!
73 DE N4RPS
Rob