Ya sure the, 'House' is not an open envelope with the flap up as in message sent or received, or a red house means message failed? Just guessing
the red icon shaped like a house means network extender. that means you were getting service off of verizon enhanced digital network. to see the red shaped house on your phone, go to settings>phone info>icon glossary>system status
The answers provided by the community were very good but I want to confirm the icon received. The extended network and roaming indicator, as mentioned by archeryhunter1993, is on page 32 of http://bit.ly/R80t20. Can you confirm this is truly the indicator received? If so, do you recall if it was solid or flashing? Flashing means extended network which is what archeryhunter1993 was talking about. Solid means roaming which will need to be reviewed if it occurs again. Please keep us posted.
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If i am correct, there is another icon just like the house that is red, except it is a solid read triangle, which indicates roaming. The red house is for verizons enhanced digital network.