tap (v)
solicit (v)
beg (v)

Definition: make a solicitation or entreaty for something
Example: Henry IV solicited the Pope for a divorce. My neighbor keeps soliciting money for different charities.

appeal (n)
entreaty (n)
prayer (n)

Definition: earnest or urgent request
Example: an entreaty to stop the fighting. an appeal for help. an appeal to the public to keep calm.

appeal (v)
invoke (v)

Definition: request earnestly (something from somebody)
Example: appeal to somebody for help. Invoke God in times of trouble.