What does beseech mean?
You are correct!
From our dictionary:
Pronunciation:
—v., -sought or -seeched, -seech•ing.
—v.t.
1. to implore urgently: They besought him to go at once.
2. to beg eagerly for; solicit.
—v.i.
to make urgent appeal: Earnestly did I beseech, but to no avail.