The OP's chain has very likely not been broken. If she doesn't have siblings who had children and grandchildren, she will have or cousins who do - or her grandparents will have cousins and so on who had children etc etc etc.... So the 'chain' has carried on there.... As I said, my 2 DC are probably not going to have children, but my brother has 2 DC, and his eldest has 2 DC.
you used up all that energy, resources and effort for your family line to just die out.
She must never EVER say this to her daughter. 'I spent soooo much time and effort and money having you, and raising you, and supporting you to adulthood. You MUST have babies to 'carry on the chain!' 
My DC have friends (between 27 and 35) who have mothers who have nagged for YEARS for them to have a baby. 'Oh you must, you can't remain childless that's awful, you will regret it!!!' Two of my DD's friends got married 7-8 years ago, and never wanted children. Their DH didn't either- apparently...
They eventually had a baby because of bullying and nagging from her mum (and his for some of the time,) and they both had a baby 1-2 years ago, and they deeply resent it now. The father of the baby(s) and the mothers/MILs who nagged them, hardly help them, and are often too busy.... These 2 women have sacrificed so much to have these babies, (babies they didn't really want, and felt bullied into having,) and they deeply resent them now. I don't know how it's going to pan out, but it's not good. One woman's MIL is nagging for her to have a second child, and she's like 'no way.;