Besiege (verb)

1. To surround and blockade a place with military forces in order to capture it.
2. To harass or trouble persistently with requests or demands.

Origin:

From old french besieger, from be- + sieger to sit.

Examples:

1. The enemy army besieged the city.
2. The company was besieged by creditors.
3. The politician was besieged by reporters.
4. The castle was besieged for months before it finally fell.
5. The company's phone lines were besieged by angry customers.