"one who lays a wager," c. 1600, also better, agent noun from bet (v.). The form is unusual; OED notes that English agent nouns in -er tend to shift toward -or as their senses become more specific; in this case it also could be to avoid confusion with better (n.1).
Betsy
better
betterment
bettermost
betting
bettor
Betty
Betula
between
betweenity
betweenness