Understanding patterns of mental health in older people, how it is measured, and how it is affected by associated risk factors is of growing importance as life expectancy increases worldwide. Here, we aimed to explore typologies of mental health using a clustering method and determine how the identified clusters differ in terms of the prominence and severity of depression and anxiety. Our analysis hinged on the Trinity Ulster Department of Agriculture study dataset, encompassing 5186 participants with a mean age of 74.0. This dataset comprises five distinct feature sets, encompassing mental health (Center for Epidemiologic Studies Depression Scale [CES-D] and Hospital Anxiety and Depression Scale [HADS]), cognitive and neuro-psychological function, illness diagnoses and medical prescription history, lifestyle and nutritional attainment, as well as physical well-being. We perform cluster analysis on each feature set independently and subsequently elucidate the interrelations among the clusterings across the various feature sets. We uncovered a five-group typology: Group 1, mild depressive symptoms and no symptoms of anxiety; Group 2, acute depression and anxiety; Group 3, less severe but persistent depression and anxiety symptoms; Group 4, symptoms of anxiety with no depressive symptoms; and Group 5, no symptoms of either depression or anxiety. Each group is associated with distinct socio-demographic, physical, and cognitive characteristics, allowing a deeper understanding of the risk factors associated with each syndrome profile. The characteristics of the groups were explored using descriptive statistics and confirmatory analysis. Analysis of a follow-up study performed at a median of 5.4 years finds that the identified typology is robust longitudinally. The co-clustering methodology also provides partitions of the questions in the CES-D and HADS scales. Our results suggest that data-driven techniques can discern different mental health typologies in older adults, distinguished by the number and severity of issues they experience.