The allowability of an interest expense against the income from the rental investment property depends on whether or not the money was employed i.e. was it employed in the purchase / improvement / repair of the investment property? If not then there's no interest deduction to be taken. From my reading of your post, the mortgage in question was taken out solely for the purchase of your home, but the investment property was also security for the loan in order to improve LTV... in which case there's no deduction to be taken against income from the rental property.
Have a read of the first page or so of this for clarification of Revenue's position: [broken link removed]