diff --git a/pkg/target/basereusenameprefix_test.go b/pkg/target/basereusenameprefix_test.go
new file mode 100644
index 0000000000..61b53f2eb9
--- /dev/null
+++ b/pkg/target/basereusenameprefix_test.go
@@ -0,0 +1,199 @@
+// Copyright 2019 The Kubernetes Authors.
+// SPDX-License-Identifier: Apache-2.0
+
+package target_test
+
+import (
+	"testing"
+
+	"sigs.k8s.io/kustomize/v3/pkg/kusttest"
+)
+
+// Here is a structure of a kustomization of two components, component1
+// and component2, that both use a shared postgres definition, which
+// they would individually adjust. This test case checks that the name
+// prefix does not cause a name reference conflict.
+//
+//                   root
+//              /            \
+//  component1/overlay  component2/overlay
+//             |              |
+//    component1/base    component2/base
+//              \            /
+//                   base
+//
+// This is the directory layout:
+//
+// ├── component1
+// │   ├── base
+// │   │   └── kustomization.yaml
+// │   └── overlay
+// │       └── kustomization.yaml
+// ├── component2
+// │   ├── base
+// │   │   └── kustomization.yaml
+// │   └── overlay
+// │       └── kustomization.yaml
+// ├── shared
+// │   ├── kustomization.yaml
+// │   └── resources.yaml
+// ├── kustomization.yaml
+
+func TestBaseReuseNameConflict(t *testing.T) {
+	th := kusttest_test.NewKustTestHarness(t, "/app")
+	th.WriteK("/app/component1/base", `
+bases:
+  - ../../shared
+
+namePrefix: component1-
+`)
+	th.WriteK("/app/component1/overlay", `
+bases:
+  - ../base
+
+namePrefix: overlay-
+`)
+
+	th.WriteK("/app/component2/base", `
+bases:
+  - ../../shared
+
+namePrefix: component2-
+`)
+	th.WriteK("/app/component2/overlay", `
+bases:
+  - ../base
+
+namePrefix: overlay-
+`)
+
+	th.WriteK("/app/shared", `
+resources:
+  - resources.yaml
+`)
+	th.WriteF("/app/shared/resources.yaml", `
+---
+kind: PersistentVolumeClaim
+apiVersion: v1
+metadata:
+  name: postgres
+spec:
+  resources:
+    requests:
+      storage: 1Gi
+  accessModes:
+    - ReadWriteOnce
+---
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  name: postgres
+spec:
+  selector:
+    matchLabels: {}
+  strategy:
+    type: Recreate
+  template:
+    spec:
+      containers:
+        - name: postgres
+          image: postgres
+          imagePullPolicy: IfNotPresent
+          volumeMounts:
+            - mountPath: /var/lib/postgresql
+              name: data
+          ports:
+            - name: postgres
+              containerPort: 5432
+      volumes:
+        - name: data
+          persistentVolumeClaim:
+            claimName: postgres
+`)
+
+	th.WriteK("/app", `
+bases:
+  - component1/overlay
+  - component2/overlay
+`)
+
+	m, err := th.MakeKustTarget().MakeCustomizedResMap()
+	if err != nil {
+		t.Fatalf("Err: %v", err)
+	}
+	th.AssertActualEqualsExpected(m, `
+apiVersion: v1
+kind: PersistentVolumeClaim
+metadata:
+  name: overlay-component1-postgres
+spec:
+  accessModes:
+  - ReadWriteOnce
+  resources:
+    requests:
+      storage: 1Gi
+---
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  name: overlay-component1-postgres
+spec:
+  selector:
+    matchLabels: {}
+  strategy:
+    type: Recreate
+  template:
+    spec:
+      containers:
+      - image: postgres
+        imagePullPolicy: IfNotPresent
+        name: postgres
+        ports:
+        - containerPort: 5432
+          name: postgres
+        volumeMounts:
+        - mountPath: /var/lib/postgresql
+          name: data
+      volumes:
+      - name: data
+        persistentVolumeClaim:
+          claimName: overlay-component1-postgres
+---
+apiVersion: v1
+kind: PersistentVolumeClaim
+metadata:
+  name: overlay-component2-postgres
+spec:
+  accessModes:
+  - ReadWriteOnce
+  resources:
+    requests:
+      storage: 1Gi
+---
+apiVersion: apps/v1
+kind: Deployment
+metadata:
+  name: overlay-component2-postgres
+spec:
+  selector:
+    matchLabels: {}
+  strategy:
+    type: Recreate
+  template:
+    spec:
+      containers:
+      - image: postgres
+        imagePullPolicy: IfNotPresent
+        name: postgres
+        ports:
+        - containerPort: 5432
+          name: postgres
+        volumeMounts:
+        - mountPath: /var/lib/postgresql
+          name: data
+      volumes:
+      - name: data
+        persistentVolumeClaim:
+          claimName: overlay-component2-postgres
+`)
+}