I did a bit of digging too.
Lucifer comes from the latin roots lux (light) and ferre (to carry). Lux/luc comes from the Proto-Indo-European word *lewk meaning light/brightness.
Other words with the latin root lux/lucis (light): lucid, Lucinda, Lucy, Lucia, elucidate, translucent, lucida.
Other words with the latin root ferre (to carry): ferry, fertile, transfer, conifer, aquifer, circumference.
The Latin word vesper comes from the Proto-Indo-European root *weksperos or *wesperos meaning evening. Wesperos also gave us in Greek Hesperos (evening star), Hesperides (nymphs of the evening/west); in English it gave us West. The evening is connected to the direction of sunset, the West, where the evening star appears.
The planet Venus, as the brightest most beautiful thing in the sky after the sun and moon, has a long history of being associated with goddesses of love, beauty and desire.
The oldest recorded name for the planet Venus comes from the Sumerians around 3000 BCE, they called it Inanna, their goddess of love and war.