[beavus]

Possibly, but it is unlikely the same half of the grandfather’s genes will be passed on to the new baby that was passed on to the father. Additionally, with a daughter you guarantee an entire chromosome (grandmother’s X) that the father (excepting certain chromosomal anomalies) does not have.

Chances are the new baby, if a boy, will have much less than half the genes of the father. If a girl, less still. But whether a boy or girl, it will almost certainly share more genes with the father than if a random sperm donor was used.

[CarrotAndStick]

I am not too sure of that... I mean, an offspring will always have 23 pairs of chromosomes, each pair consisting of one half of the father's and one half of the mother's, except for the 23rd one, which comprises the sex chromosomes. All remaining chromosomes are always 50% from the father, and 50% from the mother, and this constitution will be reflected in each and every somatic(body) cell of the offspring.