Yes the wagtail bird can be all these.But these are only the British and European wagtails and there are many ore wagtails worldwide here is a complete list;

1.White Wagtail(or pied)

2.Japanese Wagtail

3.White-browed Wagtail

4.Mekong Wagtail

5.African Pied Wagtail

6.Citrine Wagtail

7.Yellow Wagtail

8.Grey Wagtail

9.Cape Wagtail

10.Madagascar Wagtail

11.Mountain Wagtail

As you can see from this list there are 11 wagtails world wide including the Grey,yellow and pied wagtails.

Perhaps it was a pied wagtail.

African Pied Hornbill was created in 1811.

Birds That Start With A Letter

• Abbott's Booby

• Abbott's Starling

• Abyssinian Roller

• Ant-tanager, Red-throated

• Abyssinian Scimitar-bill

• Abyssinian Siskin

• African Pied Wagtail

• Antwren, Long-winged

• African Pipit

• African Pitta

• Atoll Starling

• Avocet, Andean

• Auckland Islands Merganser

A waggie is a dialect term for the pied wagtail, a small passerine bird found in Britain and Ireland, Latin name Motacilla laba yarrellii.