Eugenia's Signature Steak House Share: Eugenia's Signature Steak House 1650 Church Street Conway, SC 29526 (843) 488-0525 About Us Eugenia's Signature Steakhouse is located in Conway, South Carolina -- Serving breakfast, lunch and dinner. Visit our bakery opened daily at 7 a.m. About Media Map About Eugenia's Signature Steakhouse is located in Conway, South Carolina -- Serving breakfast, lunch and dinner. Visit our bakery opened daily at 7 a.m. Media What's Nearby? Distance: 5 10 15 20 25 50 mi.