There is no way (yet) to pass every parameter at once from the root stack to the nested stack. If you want to pass every parameter, you have to do it one by one.

Here is sample template to give you an idea.

Master.yaml:

Resources:
  Cloudspan:
    Type: "AWS::CloudFormation::Stack"
    Properties:
      Parameters:
        LambdaName: Cloudspan
        BucketName: 
        S3KeyName: 
        FunctionName: 
      TemplateURL: 
  Alignment:
    Type: "AWS::CloudFormation::Stack"
    Properties:
      Parameters:
        LambdaName: Alignment
        BucketName: 
        S3KeyName: 
        FunctionName: 
      TemplateURL: 
Lambda-child.yaml:

Parameters:
  LambdaName:
    Type: String
  BucketName:
    Type: String
  S3KeyName:
    Type: String
  FunctionName:
    Type: String

Resources:
  LambdaFunction:
    Type: "AWS::Lambda::Function"
    Properties:
      Handler: !Sub '${LambdaName}-{FunctionName}.Handler'
      Role:
        Fn::GetAtt: ['LambdaExecutionRole', Arn ]
      Code:
        S3Bucket: !Sub '${LambdaName}{BucketName}'
        S3Key: !Sub '${LambdaName}{S3KeyName}'
      Runtime: "python3.6"