Henrey is a variant spelling of Henry, from Germanic elements meaning home ruler.
Henrey is another variant spelling of Henry, and it shares the same Germanic basis meaning home ruler. That etymology has long made the name feel stable, authoritative, and broadly aristocratic.
In English usage, Henry has never really lost its classic standing, so any variant spelling inevitably carries the strength of a well-established tradition. As a given name, Henrey feels familiar but slightly softened. The ey ending changes the visual rhythm, giving it a less rigid look than the standard form while still reading as clearly classic.
It can seem more informal or more individually styled, depending on context. Henrey suggests the permanence of an old name with just enough deviation to feel personal, which is often exactly what modern spelling variants are meant to achieve.