Thank you for the question on worshipping God, “Was there scripture removed from the Bible at some point that says God doesn’t want to be worshipped in a house of the same name?”
I am not personally aware of any Scripture that has been removed that stated that God doesn’t want to be worshipped in a house of the same name. It would be helpful to me if one can cite what Scriptures is or may be missing from the Bible. If you have such verses, please let me know by citing them for me.
Apart from that, here are my thoughts for one’s consideration of where God should or can be worshipped at:
A. In the Old Testament, the place to offer sacrifices was at the Tabernacle and later at the Temple.
After King David brought the Ark into Jerusalem, King Solomon built the Temple to house the Ark of God. The Presence of God was over/in the midst of the cheribum. In Solomon’s prayer, he asked that God to listen and answered the prayer of his people from that place. The Jews were commanded to bring their sacrifices to the Ark which was located in Jerusalem.
I Kings 8 says this, “But will God really dwell on earth? The heavens, even the highest heaven, cannot contain you. How much less this temple I have built! 28 Yet give attention to your servant’s prayer and his plea for mercy, LORD my God. Hear the cry and the prayer that your servant is praying in your presence this day. 29 May your eyes be open toward this temple night and day, this place of which you said, ‘My Name shall be there,’ so that you will hear the prayer your servant prays toward this place. 30 Hear the supplication of your servant and of your people Israel when they pray toward this place. Hear from heaven, your dwelling place, and when you hear, forgive” (NIV).
God is not limited to the Temple. When they prayed in or toward this place, God who is in heaven hears. The Israelites prayed toward Jerusalem as Daniel and Nehemiah. However far they may be God hears them for the Jews are his people.
B. In the New Testament, Jesus said that God hears the cry of the heart wherever that person may be.
In John 4, Jesus declares these words to the Samaritan woman, ““Sir,” the woman said, “I can see that you are a prophet. 20 Our ancestors worshiped on this mountain, but you Jews claim that the place where we must worship is in Jerusalem.” 21 “Woman,” Jesus replied, “believe me, a time is coming when you will worship the Father neither on this mountain nor in Jerusalem. 22 You Samaritans worship what you do not know; we worship what we do know, for salvation is from the Jews. 23 Yet a time is coming and has now come when the true worshipers will worship the Father in the Spirit and in truth, for they are the kind of worshipers the Father seeks. 24 God is spirit, and his worshipers must worship in the Spirit and in truth” (NIV).
Jesus affirms that the location is not primarily, but secondary in worshipping God in spirit and in truth. God is Spirit. He is not bound to one location. Jesus foretells that not one stone of the Temple will remain (Matt. 24:1–3).
Both Jew and Christians are to worship God in spirit and in truth. God looks at the heart, not just at the physical locality of the person.
The meaning of the phrase, in the house of the same name, is unclear to me since I am uncertain what one is referencing to. Thus I can’t comment on that.
Can believers worship God in a “local” church? Yes, the believers gathered together at the Temple before it was destroyed and in homes throughout the Roman Empire and beyond. Believers are to gathered together to worship God and to mutually encouraged each other whether in a home or in a church. Christ promise to be with the believers and the believers are in Christ.
SUMMARY: Worship is not found not in a location, but from the heart.
For additional perspectives: