In this paper, we derive exact expressions, as well as recurrence relations, for single and product moments of order statistics (OSs) and record values of the Topp-Leone Lomax (TLLo) distribution proposed by Oguntunde et al.  (Wireless Personal Comm., 109, 349-360, 2019). Moreover, we study the L-moments of this distribution. Also, we estimate the parameters of the TLLo distribution through the L-moments and compare to other models. We fit flood level data to the TLLo distribution because Okorie and Nadarajah  (Wireless Personal Comm., 115, 589-596, 2020) have shown that the TLLo distribution may be used to model datasets other than airborne communication transceiver data used by Oguntunde et al. . Finally, we reveal a relationship between the entropy and the upper and lower record values, as well as OSs .