"Am I entitled to a share of my wife's inherited home?"

You may be entitled to a share of the house, even if it was inherited by your wife.  Generally speaking, assets that are acquired during the marriage by inheritance are not subject to equitable distribution.  However, if martial funds have been used to pay down the mortgage, or to make improvements to the house, or to otherwise enhance the value of the house, to that extent, you may be entitled to a share.