While Holy Week Services on Holy Thursday, Good Friday, Holy Saturday (Easter Vigil) and Easter itself are very meaningful and very good to attend, we are obligated only to attend on Easter Sunday. Easter Vigil is acceptable for the Sunday obligation.
Should your wife’s labor extend exactly over the Easter Vigil / Easter Sunday period, and you were with her, I don’t think missing would be a sin.
But, I would ask your Priest to advise you. I would also ask him if he would send a Eucharistic Minister to you both in the event you could not make it to Mass.