Build-A-Bricks Building Set
Yes, maybe called Bilda-Brix. 

I was given set for Christmas when I was 4.5. This would have to have been 1951. 

Don’t remember any instructions, just used my imagination to build houses, towns and even battle ships! They were mostly red, some white hence I could have opposing battle ships. LEGO with its kits to build a specific thing has always seemed to me to demand less of the imagination.