Consistency of ``the ideal of null restricted to some $A$ is $\kappa$--complete not $\kappa^+$--complete, $\kappa$ weakly inaccessible and ${\rm cov}({\rm meagre})=\aleph_1$''

In this note we give an answer to the following question of
Grinblat (Moti Gitik asked about it):
Is it consistent that for some set X, cov(NULL restriction X)=
lambda is a weakly inaccessible
cardinal (so X not null of course) while cov(meagre) is small,
say it is aleph_1 .

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