These three sources are extracts from three very different Roman authors: Propertius, Lucian and Lucretius. Each gives us an insight into Roman beliefs about funerals and the afterlife, but they are not entirely consistent with each other, reflecting the lack of a widespread 'official' belief system.
Propertius was a Roman poet who mostly wrote love poems. This poem is from the perspective of a deceased woman to a man who mourns her (his exact identity is unknown). It reflects ideas about the Underworld as a dark, shadowy physical place from which there is no return. Features include a gate, a ruling god, a river or sea there ('shores of deafness'), and a ferryman who has to be paid. Her funeral was accompanied by trumpets and she was cremated.
Lucian lived in the Roman province of Syria, on the Eastern border of the Roman Empire. He was well known for writing satires, and so his writings should be taken as in a humourous rather than serious way. In this work, he presents Roman mourning rituals as an exaggerated spectacle, including mourners weeping, wailing, beating themselves, tearing their hair, ripping the skin on their cheeks, and rolling around on the floor. He also mentions a ferryman who must be paid or the ghost of the dead person can’t go to the Underworld, and adds the detail of Cerberus the three-headed dog who guards the Underworld.
Lucretius was a poet with a great interest in a school of philosophy called Epicureanism. Epicureanism was a popular school of philosophy in the Roman world, but it never entered the political 'mainstream'. Lucretius' great work On the Nature of Things is a long poem which explains Epicurean philosophy, including its beliefs about the soul and death. Epicureans believed that the soul and body were united in life, but one could not exist without the other. When the body dies, the soul also dies and is no more. Epicureans say, therefore, that fearing death or worrying about 'what comes next' is pointless; we will not be aware of anything after death so why worry about it? Lucretius suggests in his poem that fear of punishment after death in an Underworld is actually people worrying about things in their lives, and creating symbols of this after death. Lucretius and the Epicureans believed that people should make the most of their one life and not waste time worrying about death and what happens afterwards.