Conn. Gen. Stat. § 49-20: Redemption by holder of encumbrance on part of property foreclosed.

When a strict foreclosure judgment contains a provision that title to the real estate being thereby foreclosed shall vest in the encumbrancer who redeems pursuant to the judgment, or specifies that the title shall vest in any particular person or persons who redeem as therein provided, the validity and effect of the judgment and of the provision therein shall not be limited or otherwise affected by the fact that the encumbrance or interest of the person so redeeming applies to or covers only a portion of the property described and being foreclosed in the judgment. In such case, if the foreclosure judgment requires that person to pay the entire amount thereof or be foreclosed of all equity to redeem the premises described in the judgment, the person shall, by the judgment, acquire all the rights and title of the foreclosing party granted by the judgment, as fully as if his interest or encumbrance covered all of the property described in the judgment.