My mother passed away in January of this year.

She made me the Executor of her will. It was her wish that
her deceased
estate was to be divided equally between myself
and my two brothers. I followed her wishes.

Out of my
share I gave equal portions of money to my two children
as a gift. To help one with renovations on their home, and
the other - to put the money into a trust fund for their children's
(my grand-children's)
education.

I made the decision to do this entirely on my own. My children
did not expect anything from me - but they were very grateful
for the gifts. It made me happy that I could do this for them.
That's what parents do. They help their children whenever they
can. At least that's the way I've been raised. It's what my
parents did.

Thank your parents for the gifts that you've received - and remember
the biggest gift they've given you is life, and their love and I imagine - the hope
that you shall pass this love on to your own children. All we can
do is be grateful for what our parents give us - and pass it on
to our own children, who hopefully shall pass it on to theirs.
So that the circle of life and love continues.

Simple fact, unless you asked for the gift, your parents offered it to you they would not have done that if
A. they could not afford too.
or
B. they did not want too do it.
So accept it.

Give it to me, I'll look after it for you; ...promise!

Thank you all for your advise for what to do. Expecially for those of you who spoke from the perspective of parents yourselves.

Before I wrote this question I had already made my descision on what to do, and acted on it. But my intreast was in how others react to a simular sitution. If you all are more at ease to recieve a generous gift, or if you feel like something is too much and hesitate or decline such things. That's all I meant it as. A conversation topic on how well we all handle unusual kindness from others.

I agree with @Philip S