diff --git a/Dockerfile b/Dockerfile
index 8077edacd..606631b3a 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,7 +1,7 @@
 # This dockerfile is meant to compile a core-lightning x64 image
 # It is using multi stage build:
 # * downloader: Download litecoin/bitcoin and qemu binaries needed for core-lightning
-# * builder: Compile core-lightning dependencies, then c-lightning itself with static linking
+# * builder: Compile core-lightning dependencies, then core-lightning itself with static linking
 # * final: Copy the binaries required at runtime
 # The resulting image uploaded to dockerhub will only contain what is needed for runtime.
 # From the root of the repository, run "docker build -t yourimage:yourtag ."
diff --git a/contrib/docker/linuxarm32v7.Dockerfile b/contrib/docker/linuxarm32v7.Dockerfile
index 7120befb5..ffcfb4907 100644
--- a/contrib/docker/linuxarm32v7.Dockerfile
+++ b/contrib/docker/linuxarm32v7.Dockerfile
@@ -1,6 +1,6 @@
 # This dockerfile is meant to cross compile with a x64 machine for a arm32v7 host
 # It is using multi stage build: 
-# * downloader: Download litecoin/bitcoin and qemu binaries needed for c-lightning
+# * downloader: Download litecoin/bitcoin and qemu binaries needed for core-lightning
 # * builder: Cross compile c-lightning dependencies, then c-lightning itself with static linking
 # * final: Copy the binaries required at runtime
 # The resulting image uploaded to dockerhub will only contain what is needed for runtime.
diff --git a/tools/docker-entrypoint.sh b/tools/docker-entrypoint.sh
index c5bccf400..bb06db53a 100755
--- a/tools/docker-entrypoint.sh
+++ b/tools/docker-entrypoint.sh
@@ -8,11 +8,11 @@ if [ "$EXPOSE_TCP" == "true" ]; then
     set -m
     lightningd "$@" &
 
-    echo "C-Lightning starting"
+    echo "Core-Lightning starting"
     while read -r i; do if [ "$i" = "lightning-rpc" ]; then break; fi; done \
     < <(inotifywait -e create,open --format '%f' --quiet "${networkdatadir}" --monitor)
-    echo "C-Lightning started"
-    echo "C-Lightning started, RPC available on port $LIGHTNINGD_RPC_PORT"
+    echo "Core-Lightning started"
+    echo "Core-Lightning started, RPC available on port $LIGHTNINGD_RPC_PORT"
 
     socat "TCP4-listen:$LIGHTNINGD_RPC_PORT,fork,reuseaddr" "UNIX-CONNECT:${networkdatadir}/lightning-rpc" &
     fg %-