I recommend you check this page :
http://www.ssa.gov/pubs/10084.html

Sorry, don't understand the question. This publication may be helpful :
http://www.ssa.gov/online/ssa-8.html

You may want to contact the SSA directly for this, but SSA documents indicate the lump-sum death payment may not be paid to parents. The daughter, however, may be eligible :

A one-time payment of $255 is payable to the surviving spouse if he or she was living with the beneficiary at the time of death, OR if living apart, was eligible for Social Security benefits on the beneficiary's earnings record for the month of death.

If there is no surviving spouse, the payment is made to a child who was eligible for benefits on the beneficiary's earnings record in the month of death.

http://www.ssa.gov/pubs/deathbenefits.htm

http://www.ssa.gov/pubs/10084.html#2

Survivor benefits are for the following people :

* Widows or widowers (potentially including ex-spouses)

* Dependent parents if they are age 62 or older

* Unmarried children who are younger than age 18 (or up to age 19 if they are attending elementary or secondary school full time)

* Children can get benefits at any age if they were disabled before age 22 and remain disabled

http://www.ssa.gov/pubs/10084.html#2

There is a one-time payment of $255 that can be made when you die if you have worked long enough. This payment can be made only to your spouse or child if they meet certain requirements.

Social Security survivors benefits can be paid to:

• A widow or widower -- full benefits at full retirement age, or reduced benefits as early as age 60
• A disabled widow or widower -- as early as age 50
• A widow or widower at any age if he or she takes care of the deceased's child who is under age 16 or disabled, and receiving Social Security benefits
• Unmarried children under 18, or up to age 19 if they are attending high school full time

http://www.ssa.gov/ww&os2.htm